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Finding the Third Proportional to 63,712 and 101,200

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Solution

The third proportional to 63,712 and 101,200 is: 160,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,712 : 101,200 = 101,200 : x
  2. Step 2: Convert to fraction form
    63,712/101,200 = 101,200/x
  3. Step 3: Cross multiply
    63,712x = 101,200 × 101,200
  4. Step 4: Simplify right side
    63,712x = 10,241,440,000
  5. Step 5: Solve for x
    x = 10,241,440,000/63,712
  6. Step 6: Final answer
    x = 160,745.86

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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.