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Finding the Third Proportional to 60,705 and 92,151

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Solution

The third proportional to 60,705 and 92,151 is: 139,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,705 : 92,151 = 92,151 : x
  2. Step 2: Convert to fraction form
    60,705/92,151 = 92,151/x
  3. Step 3: Cross multiply
    60,705x = 92,151 × 92,151
  4. Step 4: Simplify right side
    60,705x = 8,491,806,801
  5. Step 5: Solve for x
    x = 8,491,806,801/60,705
  6. Step 6: Final answer
    x = 139,886.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.