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Finding the Third Proportional to 31,201.88 and 67,324.13

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Solution

The third proportional to 31,201.88 and 67,324.13 is: 145,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.88 : 67,324.13 = 67,324.13 : x
  2. Step 2: Convert to fraction form
    31,201.88/67,324.13 = 67,324.13/x
  3. Step 3: Cross multiply
    31,201.88x = 67,324.13 × 67,324.13
  4. Step 4: Simplify right side
    31,201.88x = 4,532,537,807.02
  5. Step 5: Solve for x
    x = 4,532,537,807.02/31,201.88
  6. Step 6: Final answer
    x = 145,264.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.