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Finding the Third Proportional to 59,609.25 and 130,291.88

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Solution

The third proportional to 59,609.25 and 130,291.88 is: 284,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,609.25 : 130,291.88 = 130,291.88 : x
  2. Step 2: Convert to fraction form
    59,609.25/130,291.88 = 130,291.88/x
  3. Step 3: Cross multiply
    59,609.25x = 130,291.88 × 130,291.88
  4. Step 4: Simplify right side
    59,609.25x = 16,975,972,691.02
  5. Step 5: Solve for x
    x = 16,975,972,691.02/59,609.25
  6. Step 6: Final answer
    x = 284,787.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.