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Finding the Third Proportional to 99,610 and 149,791

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Solution

The third proportional to 99,610 and 149,791 is: 225,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,610 : 149,791 = 149,791 : x
  2. Step 2: Convert to fraction form
    99,610/149,791 = 149,791/x
  3. Step 3: Cross multiply
    99,610x = 149,791 × 149,791
  4. Step 4: Simplify right side
    99,610x = 22,437,343,681
  5. Step 5: Solve for x
    x = 22,437,343,681/99,610
  6. Step 6: Final answer
    x = 225,251.92

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Why These Related Problems?

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