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Finding the Third Proportional to 73,455 and 157,566

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Solution

The third proportional to 73,455 and 157,566 is: 337,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,455 : 157,566 = 157,566 : x
  2. Step 2: Convert to fraction form
    73,455/157,566 = 157,566/x
  3. Step 3: Cross multiply
    73,455x = 157,566 × 157,566
  4. Step 4: Simplify right side
    73,455x = 24,827,044,356
  5. Step 5: Solve for x
    x = 24,827,044,356/73,455
  6. Step 6: Final answer
    x = 337,989.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.