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Finding the Third Proportional to 40,154 and 58,791

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Solution

The third proportional to 40,154 and 58,791 is: 86,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154 : 58,791 = 58,791 : x
  2. Step 2: Convert to fraction form
    40,154/58,791 = 58,791/x
  3. Step 3: Cross multiply
    40,154x = 58,791 × 58,791
  4. Step 4: Simplify right side
    40,154x = 3,456,381,681
  5. Step 5: Solve for x
    x = 3,456,381,681/40,154
  6. Step 6: Final answer
    x = 86,078.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.