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Finding the Third Proportional to 60,559 and 94,517

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Solution

The third proportional to 60,559 and 94,517 is: 147,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,559 : 94,517 = 94,517 : x
  2. Step 2: Convert to fraction form
    60,559/94,517 = 94,517/x
  3. Step 3: Cross multiply
    60,559x = 94,517 × 94,517
  4. Step 4: Simplify right side
    60,559x = 8,933,463,289
  5. Step 5: Solve for x
    x = 8,933,463,289/60,559
  6. Step 6: Final answer
    x = 147,516.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.