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Finding the Third Proportional to 67,542 and 104,121

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Solution

The third proportional to 67,542 and 104,121 is: 160,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,542 : 104,121 = 104,121 : x
  2. Step 2: Convert to fraction form
    67,542/104,121 = 104,121/x
  3. Step 3: Cross multiply
    67,542x = 104,121 × 104,121
  4. Step 4: Simplify right side
    67,542x = 10,841,182,641
  5. Step 5: Solve for x
    x = 10,841,182,641/67,542
  6. Step 6: Final answer
    x = 160,510.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.