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Finding the Third Proportional to 59,416.88 and 129,286.13

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Solution

The third proportional to 59,416.88 and 129,286.13 is: 281,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,416.88 : 129,286.13 = 129,286.13 : x
  2. Step 2: Convert to fraction form
    59,416.88/129,286.13 = 129,286.13/x
  3. Step 3: Cross multiply
    59,416.88x = 129,286.13 × 129,286.13
  4. Step 4: Simplify right side
    59,416.88x = 16,714,902,117.52
  5. Step 5: Solve for x
    x = 16,714,902,117.52/59,416.88
  6. Step 6: Final answer
    x = 281,315.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.