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Finding the Third Proportional to 60,578 and 92,787

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Solution

The third proportional to 60,578 and 92,787 is: 142,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,578 : 92,787 = 92,787 : x
  2. Step 2: Convert to fraction form
    60,578/92,787 = 92,787/x
  3. Step 3: Cross multiply
    60,578x = 92,787 × 92,787
  4. Step 4: Simplify right side
    60,578x = 8,609,427,369
  5. Step 5: Solve for x
    x = 8,609,427,369/60,578
  6. Step 6: Final answer
    x = 142,121.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.