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Finding the Third Proportional to 89,562 and 139,791

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Solution

The third proportional to 89,562 and 139,791 is: 218,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,562 : 139,791 = 139,791 : x
  2. Step 2: Convert to fraction form
    89,562/139,791 = 139,791/x
  3. Step 3: Cross multiply
    89,562x = 139,791 × 139,791
  4. Step 4: Simplify right side
    89,562x = 19,541,523,681
  5. Step 5: Solve for x
    x = 19,541,523,681/89,562
  6. Step 6: Final answer
    x = 218,189.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.