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Finding the Third Proportional to 75,537 and 102,226

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Solution

The third proportional to 75,537 and 102,226 is: 138,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537 : 102,226 = 102,226 : x
  2. Step 2: Convert to fraction form
    75,537/102,226 = 102,226/x
  3. Step 3: Cross multiply
    75,537x = 102,226 × 102,226
  4. Step 4: Simplify right side
    75,537x = 10,450,155,076
  5. Step 5: Solve for x
    x = 10,450,155,076/75,537
  6. Step 6: Final answer
    x = 138,344.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.