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Finding the Third Proportional to 58,520 and 125,922

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Solution

The third proportional to 58,520 and 125,922 is: 270,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,520 : 125,922 = 125,922 : x
  2. Step 2: Convert to fraction form
    58,520/125,922 = 125,922/x
  3. Step 3: Cross multiply
    58,520x = 125,922 × 125,922
  4. Step 4: Simplify right side
    58,520x = 15,856,350,084
  5. Step 5: Solve for x
    x = 15,856,350,084/58,520
  6. Step 6: Final answer
    x = 270,956.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.