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Finding the Third Proportional to 69,601 and 112,060

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Solution

The third proportional to 69,601 and 112,060 is: 180,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,601 : 112,060 = 112,060 : x
  2. Step 2: Convert to fraction form
    69,601/112,060 = 112,060/x
  3. Step 3: Cross multiply
    69,601x = 112,060 × 112,060
  4. Step 4: Simplify right side
    69,601x = 12,557,443,600
  5. Step 5: Solve for x
    x = 12,557,443,600/69,601
  6. Step 6: Final answer
    x = 180,420.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.