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Finding the Third Proportional to 87,712 and 181,441.50

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Solution

The third proportional to 87,712 and 181,441.50 is: 375,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,712 : 181,441.50 = 181,441.50 : x
  2. Step 2: Convert to fraction form
    87,712/181,441.50 = 181,441.50/x
  3. Step 3: Cross multiply
    87,712x = 181,441.50 × 181,441.50
  4. Step 4: Simplify right side
    87,712x = 32,921,017,922.25
  5. Step 5: Solve for x
    x = 32,921,017,922.25/87,712
  6. Step 6: Final answer
    x = 375,330.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.