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Finding the Third Proportional to 58,511.81 and 125,911.13

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Solution

The third proportional to 58,511.81 and 125,911.13 is: 270,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,511.81 : 125,911.13 = 125,911.13 : x
  2. Step 2: Convert to fraction form
    58,511.81/125,911.13 = 125,911.13/x
  3. Step 3: Cross multiply
    58,511.81x = 125,911.13 × 125,911.13
  4. Step 4: Simplify right side
    58,511.81x = 15,853,611,398.77
  5. Step 5: Solve for x
    x = 15,853,611,398.77/58,511.81
  6. Step 6: Final answer
    x = 270,947.19

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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.