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Finding the Third Proportional to 62,005 and 98,543

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Solution

The third proportional to 62,005 and 98,543 is: 156,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,005 : 98,543 = 98,543 : x
  2. Step 2: Convert to fraction form
    62,005/98,543 = 98,543/x
  3. Step 3: Cross multiply
    62,005x = 98,543 × 98,543
  4. Step 4: Simplify right side
    62,005x = 9,710,722,849
  5. Step 5: Solve for x
    x = 9,710,722,849/62,005
  6. Step 6: Final answer
    x = 156,611.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.