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Finding the Third Proportional to 127,856.25 and 191,783.25

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Solution

The third proportional to 127,856.25 and 191,783.25 is: 287,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,856.25 : 191,783.25 = 191,783.25 : x
  2. Step 2: Convert to fraction form
    127,856.25/191,783.25 = 191,783.25/x
  3. Step 3: Cross multiply
    127,856.25x = 191,783.25 × 191,783.25
  4. Step 4: Simplify right side
    127,856.25x = 36,780,814,980.56
  5. Step 5: Solve for x
    x = 36,780,814,980.56/127,856.25
  6. Step 6: Final answer
    x = 287,673.19

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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.