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Finding the Third Proportional to 65,032.88 and 141,132.38

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Solution

The third proportional to 65,032.88 and 141,132.38 is: 306,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,032.88 : 141,132.38 = 141,132.38 : x
  2. Step 2: Convert to fraction form
    65,032.88/141,132.38 = 141,132.38/x
  3. Step 3: Cross multiply
    65,032.88x = 141,132.38 × 141,132.38
  4. Step 4: Simplify right side
    65,032.88x = 19,918,347,273.14
  5. Step 5: Solve for x
    x = 19,918,347,273.14/65,032.88
  6. Step 6: Final answer
    x = 306,281.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.