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Finding the Third Proportional to 71,010.95 and 151,863.40

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Solution

The third proportional to 71,010.95 and 151,863.40 is: 324,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,010.95 : 151,863.40 = 151,863.40 : x
  2. Step 2: Convert to fraction form
    71,010.95/151,863.40 = 151,863.40/x
  3. Step 3: Cross multiply
    71,010.95x = 151,863.40 × 151,863.40
  4. Step 4: Simplify right side
    71,010.95x = 23,062,491,784.99
  5. Step 5: Solve for x
    x = 23,062,491,784.99/71,010.95
  6. Step 6: Final answer
    x = 324,773.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.