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Finding the Third Proportional to 42,909.75 and 89,742.94

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Solution

The third proportional to 42,909.75 and 89,742.94 is: 187,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.75 : 89,742.94 = 89,742.94 : x
  2. Step 2: Convert to fraction form
    42,909.75/89,742.94 = 89,742.94/x
  3. Step 3: Cross multiply
    42,909.75x = 89,742.94 × 89,742.94
  4. Step 4: Simplify right side
    42,909.75x = 8,053,794,831.13
  5. Step 5: Solve for x
    x = 8,053,794,831.13/42,909.75
  6. Step 6: Final answer
    x = 187,691.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.