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Finding the Third Proportional to 60,686 and 90,559

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Solution

The third proportional to 60,686 and 90,559 is: 135,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,686 : 90,559 = 90,559 : x
  2. Step 2: Convert to fraction form
    60,686/90,559 = 90,559/x
  3. Step 3: Cross multiply
    60,686x = 90,559 × 90,559
  4. Step 4: Simplify right side
    60,686x = 8,200,932,481
  5. Step 5: Solve for x
    x = 8,200,932,481/60,686
  6. Step 6: Final answer
    x = 135,137.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.