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Finding the Third Proportional to 75,350 and 112,791

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Solution

The third proportional to 75,350 and 112,791 is: 168,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,350 : 112,791 = 112,791 : x
  2. Step 2: Convert to fraction form
    75,350/112,791 = 112,791/x
  3. Step 3: Cross multiply
    75,350x = 112,791 × 112,791
  4. Step 4: Simplify right side
    75,350x = 12,721,809,681
  5. Step 5: Solve for x
    x = 12,721,809,681/75,350
  6. Step 6: Final answer
    x = 168,836.23

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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.