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Finding the Third Proportional to 60,174 and 92,499

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Solution

The third proportional to 60,174 and 92,499 is: 142,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,174 : 92,499 = 92,499 : x
  2. Step 2: Convert to fraction form
    60,174/92,499 = 92,499/x
  3. Step 3: Cross multiply
    60,174x = 92,499 × 92,499
  4. Step 4: Simplify right side
    60,174x = 8,556,065,001
  5. Step 5: Solve for x
    x = 8,556,065,001/60,174
  6. Step 6: Final answer
    x = 142,188.74

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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.