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Finding the Third Proportional to 58,402.27 and 125,689.22

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Solution

The third proportional to 58,402.27 and 125,689.22 is: 270,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,402.27 : 125,689.22 = 125,689.22 : x
  2. Step 2: Convert to fraction form
    58,402.27/125,689.22 = 125,689.22/x
  3. Step 3: Cross multiply
    58,402.27x = 125,689.22 × 125,689.22
  4. Step 4: Simplify right side
    58,402.27x = 15,797,779,709.99
  5. Step 5: Solve for x
    x = 15,797,779,709.99/58,402.27
  6. Step 6: Final answer
    x = 270,499.43

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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.