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Finding the Third Proportional to 60,672 and 90,540

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Solution

The third proportional to 60,672 and 90,540 is: 135,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,672 : 90,540 = 90,540 : x
  2. Step 2: Convert to fraction form
    60,672/90,540 = 90,540/x
  3. Step 3: Cross multiply
    60,672x = 90,540 × 90,540
  4. Step 4: Simplify right side
    60,672x = 8,197,491,600
  5. Step 5: Solve for x
    x = 8,197,491,600/60,672
  6. Step 6: Final answer
    x = 135,111.61

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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.