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Finding the Third Proportional to 59,416 and 132,116

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Solution

The third proportional to 59,416 and 132,116 is: 293,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,416 : 132,116 = 132,116 : x
  2. Step 2: Convert to fraction form
    59,416/132,116 = 132,116/x
  3. Step 3: Cross multiply
    59,416x = 132,116 × 132,116
  4. Step 4: Simplify right side
    59,416x = 17,454,637,456
  5. Step 5: Solve for x
    x = 17,454,637,456/59,416
  6. Step 6: Final answer
    x = 293,769.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.