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Finding the Third Proportional to 58,205.63 and 125,593.13

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Solution

The third proportional to 58,205.63 and 125,593.13 is: 270,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.63 : 125,593.13 = 125,593.13 : x
  2. Step 2: Convert to fraction form
    58,205.63/125,593.13 = 125,593.13/x
  3. Step 3: Cross multiply
    58,205.63x = 125,593.13 × 125,593.13
  4. Step 4: Simplify right side
    58,205.63x = 15,773,633,047.27
  5. Step 5: Solve for x
    x = 15,773,633,047.27/58,205.63
  6. Step 6: Final answer
    x = 270,998.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.