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Finding the Third Proportional to 102,528 and 113,463

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Solution

The third proportional to 102,528 and 113,463 is: 125,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,528 : 113,463 = 113,463 : x
  2. Step 2: Convert to fraction form
    102,528/113,463 = 113,463/x
  3. Step 3: Cross multiply
    102,528x = 113,463 × 113,463
  4. Step 4: Simplify right side
    102,528x = 12,873,852,369
  5. Step 5: Solve for x
    x = 12,873,852,369/102,528
  6. Step 6: Final answer
    x = 125,564.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.