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Finding the Third Proportional to 127,850 and 191,043

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Solution

The third proportional to 127,850 and 191,043 is: 285,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,850 : 191,043 = 191,043 : x
  2. Step 2: Convert to fraction form
    127,850/191,043 = 191,043/x
  3. Step 3: Cross multiply
    127,850x = 191,043 × 191,043
  4. Step 4: Simplify right side
    127,850x = 36,497,427,849
  5. Step 5: Solve for x
    x = 36,497,427,849/127,850
  6. Step 6: Final answer
    x = 285,470.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.