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Finding the Third Proportional to 60,416 and 125,080

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Solution

The third proportional to 60,416 and 125,080 is: 258,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,416 : 125,080 = 125,080 : x
  2. Step 2: Convert to fraction form
    60,416/125,080 = 125,080/x
  3. Step 3: Cross multiply
    60,416x = 125,080 × 125,080
  4. Step 4: Simplify right side
    60,416x = 15,645,006,400
  5. Step 5: Solve for x
    x = 15,645,006,400/60,416
  6. Step 6: Final answer
    x = 258,954.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.