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Finding the Third Proportional to 60,150 and 85,499

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Solution

The third proportional to 60,150 and 85,499 is: 121,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,150 : 85,499 = 85,499 : x
  2. Step 2: Convert to fraction form
    60,150/85,499 = 85,499/x
  3. Step 3: Cross multiply
    60,150x = 85,499 × 85,499
  4. Step 4: Simplify right side
    60,150x = 7,310,079,001
  5. Step 5: Solve for x
    x = 7,310,079,001/60,150
  6. Step 6: Final answer
    x = 121,530.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.