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Finding the Third Proportional to 116,637.75 and 175,402.13

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Solution

The third proportional to 116,637.75 and 175,402.13 is: 263,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,637.75 : 175,402.13 = 175,402.13 : x
  2. Step 2: Convert to fraction form
    116,637.75/175,402.13 = 175,402.13/x
  3. Step 3: Cross multiply
    116,637.75x = 175,402.13 × 175,402.13
  4. Step 4: Simplify right side
    116,637.75x = 30,765,905,454.52
  5. Step 5: Solve for x
    x = 30,765,905,454.52/116,637.75
  6. Step 6: Final answer
    x = 263,773.14

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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.