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Finding the Third Proportional to 58,462.50 and 126,265.50

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Solution

The third proportional to 58,462.50 and 126,265.50 is: 272,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462.50 : 126,265.50 = 126,265.50 : x
  2. Step 2: Convert to fraction form
    58,462.50/126,265.50 = 126,265.50/x
  3. Step 3: Cross multiply
    58,462.50x = 126,265.50 × 126,265.50
  4. Step 4: Simplify right side
    58,462.50x = 15,942,976,490.25
  5. Step 5: Solve for x
    x = 15,942,976,490.25/58,462.50
  6. Step 6: Final answer
    x = 272,704.32

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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.