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Finding the Third Proportional to 58,219.59 and 125,358.47

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Solution

The third proportional to 58,219.59 and 125,358.47 is: 269,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,219.59 : 125,358.47 = 125,358.47 : x
  2. Step 2: Convert to fraction form
    58,219.59/125,358.47 = 125,358.47/x
  3. Step 3: Cross multiply
    58,219.59x = 125,358.47 × 125,358.47
  4. Step 4: Simplify right side
    58,219.59x = 15,714,745,687.34
  5. Step 5: Solve for x
    x = 15,714,745,687.34/58,219.59
  6. Step 6: Final answer
    x = 269,921.94

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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.