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Finding the Third Proportional to 60,247 and 92,677

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Solution

The third proportional to 60,247 and 92,677 is: 142,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,247 : 92,677 = 92,677 : x
  2. Step 2: Convert to fraction form
    60,247/92,677 = 92,677/x
  3. Step 3: Cross multiply
    60,247x = 92,677 × 92,677
  4. Step 4: Simplify right side
    60,247x = 8,589,026,329
  5. Step 5: Solve for x
    x = 8,589,026,329/60,247
  6. Step 6: Final answer
    x = 142,563.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.