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Finding the Third Proportional to 127,919.25 and 191,878.88

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Solution

The third proportional to 127,919.25 and 191,878.88 is: 287,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,919.25 : 191,878.88 = 191,878.88 : x
  2. Step 2: Convert to fraction form
    127,919.25/191,878.88 = 191,878.88/x
  3. Step 3: Cross multiply
    127,919.25x = 191,878.88 × 191,878.88
  4. Step 4: Simplify right side
    127,919.25x = 36,817,502,671.27
  5. Step 5: Solve for x
    x = 36,817,502,671.27/127,919.25
  6. Step 6: Final answer
    x = 287,818.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.