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Finding the Third Proportional to 88,712 and 141,082

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Solution

The third proportional to 88,712 and 141,082 is: 224,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,712 : 141,082 = 141,082 : x
  2. Step 2: Convert to fraction form
    88,712/141,082 = 141,082/x
  3. Step 3: Cross multiply
    88,712x = 141,082 × 141,082
  4. Step 4: Simplify right side
    88,712x = 19,904,130,724
  5. Step 5: Solve for x
    x = 19,904,130,724/88,712
  6. Step 6: Final answer
    x = 224,367.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.