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Finding the Third Proportional to 89,448 and 139,060

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Solution

The third proportional to 89,448 and 139,060 is: 216,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,448 : 139,060 = 139,060 : x
  2. Step 2: Convert to fraction form
    89,448/139,060 = 139,060/x
  3. Step 3: Cross multiply
    89,448x = 139,060 × 139,060
  4. Step 4: Simplify right side
    89,448x = 19,337,683,600
  5. Step 5: Solve for x
    x = 19,337,683,600/89,448
  6. Step 6: Final answer
    x = 216,189.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.