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Finding the Third Proportional to 60,069 and 86,527

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Solution

The third proportional to 60,069 and 86,527 is: 124,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,069 : 86,527 = 86,527 : x
  2. Step 2: Convert to fraction form
    60,069/86,527 = 86,527/x
  3. Step 3: Cross multiply
    60,069x = 86,527 × 86,527
  4. Step 4: Simplify right side
    60,069x = 7,486,921,729
  5. Step 5: Solve for x
    x = 7,486,921,729/60,069
  6. Step 6: Final answer
    x = 124,638.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.