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Finding the Third Proportional to 85,998.59 and 126,470.11

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Solution

The third proportional to 85,998.59 and 126,470.11 is: 185,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,998.59 : 126,470.11 = 126,470.11 : x
  2. Step 2: Convert to fraction form
    85,998.59/126,470.11 = 126,470.11/x
  3. Step 3: Cross multiply
    85,998.59x = 126,470.11 × 126,470.11
  4. Step 4: Simplify right side
    85,998.59x = 15,994,688,565.32
  5. Step 5: Solve for x
    x = 15,994,688,565.32/85,998.59
  6. Step 6: Final answer
    x = 185,987.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.