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Finding the Third Proportional to 58,742 and 88,131

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Solution

The third proportional to 58,742 and 88,131 is: 132,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,742 : 88,131 = 88,131 : x
  2. Step 2: Convert to fraction form
    58,742/88,131 = 88,131/x
  3. Step 3: Cross multiply
    58,742x = 88,131 × 88,131
  4. Step 4: Simplify right side
    58,742x = 7,767,073,161
  5. Step 5: Solve for x
    x = 7,767,073,161/58,742
  6. Step 6: Final answer
    x = 132,223.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.