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Finding the Third Proportional to 58,251.63 and 127,406.13

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Solution

The third proportional to 58,251.63 and 127,406.13 is: 278,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,251.63 : 127,406.13 = 127,406.13 : x
  2. Step 2: Convert to fraction form
    58,251.63/127,406.13 = 127,406.13/x
  3. Step 3: Cross multiply
    58,251.63x = 127,406.13 × 127,406.13
  4. Step 4: Simplify right side
    58,251.63x = 16,232,320,687.52
  5. Step 5: Solve for x
    x = 16,232,320,687.52/58,251.63
  6. Step 6: Final answer
    x = 278,658.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.