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Finding the Third Proportional to 59,134 and 129,230

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Solution

The third proportional to 59,134 and 129,230 is: 282,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,134 : 129,230 = 129,230 : x
  2. Step 2: Convert to fraction form
    59,134/129,230 = 129,230/x
  3. Step 3: Cross multiply
    59,134x = 129,230 × 129,230
  4. Step 4: Simplify right side
    59,134x = 16,700,392,900
  5. Step 5: Solve for x
    x = 16,700,392,900/59,134
  6. Step 6: Final answer
    x = 282,416.09

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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.