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Finding the Third Proportional to 75,552 and 102,233.50

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Solution

The third proportional to 75,552 and 102,233.50 is: 138,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,552 : 102,233.50 = 102,233.50 : x
  2. Step 2: Convert to fraction form
    75,552/102,233.50 = 102,233.50/x
  3. Step 3: Cross multiply
    75,552x = 102,233.50 × 102,233.50
  4. Step 4: Simplify right side
    75,552x = 10,451,688,522.25
  5. Step 5: Solve for x
    x = 10,451,688,522.25/75,552
  6. Step 6: Final answer
    x = 138,337.68

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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.