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Finding the Third Proportional to 59,960.25 and 129,215.25

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Solution

The third proportional to 59,960.25 and 129,215.25 is: 278,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,960.25 : 129,215.25 = 129,215.25 : x
  2. Step 2: Convert to fraction form
    59,960.25/129,215.25 = 129,215.25/x
  3. Step 3: Cross multiply
    59,960.25x = 129,215.25 × 129,215.25
  4. Step 4: Simplify right side
    59,960.25x = 16,696,580,832.56
  5. Step 5: Solve for x
    x = 16,696,580,832.56/59,960.25
  6. Step 6: Final answer
    x = 278,460.83

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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.