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Finding the Third Proportional to 86,061.87 and 142,223.34

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Solution

The third proportional to 86,061.87 and 142,223.34 is: 235,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,061.87 : 142,223.34 = 142,223.34 : x
  2. Step 2: Convert to fraction form
    86,061.87/142,223.34 = 142,223.34/x
  3. Step 3: Cross multiply
    86,061.87x = 142,223.34 × 142,223.34
  4. Step 4: Simplify right side
    86,061.87x = 20,227,479,507.43
  5. Step 5: Solve for x
    x = 20,227,479,507.43/86,061.87
  6. Step 6: Final answer
    x = 235,034.17

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.