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Finding the Third Proportional to 71,963 and 157,498

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Solution

The third proportional to 71,963 and 157,498 is: 344,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963 : 157,498 = 157,498 : x
  2. Step 2: Convert to fraction form
    71,963/157,498 = 157,498/x
  3. Step 3: Cross multiply
    71,963x = 157,498 × 157,498
  4. Step 4: Simplify right side
    71,963x = 24,805,620,004
  5. Step 5: Solve for x
    x = 24,805,620,004/71,963
  6. Step 6: Final answer
    x = 344,699.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.