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Finding the Third Proportional to 42,061.50 and 89,739

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Solution

The third proportional to 42,061.50 and 89,739 is: 191,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,061.50 : 89,739 = 89,739 : x
  2. Step 2: Convert to fraction form
    42,061.50/89,739 = 89,739/x
  3. Step 3: Cross multiply
    42,061.50x = 89,739 × 89,739
  4. Step 4: Simplify right side
    42,061.50x = 8,053,088,121
  5. Step 5: Solve for x
    x = 8,053,088,121/42,061.50
  6. Step 6: Final answer
    x = 191,459.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.