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Finding the Third Proportional to 58,359.75 and 128,149.50

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Solution

The third proportional to 58,359.75 and 128,149.50 is: 281,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,359.75 : 128,149.50 = 128,149.50 : x
  2. Step 2: Convert to fraction form
    58,359.75/128,149.50 = 128,149.50/x
  3. Step 3: Cross multiply
    58,359.75x = 128,149.50 × 128,149.50
  4. Step 4: Simplify right side
    58,359.75x = 16,422,294,350.25
  5. Step 5: Solve for x
    x = 16,422,294,350.25/58,359.75
  6. Step 6: Final answer
    x = 281,397.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.