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Finding the Third Proportional to 58,251.38 and 127,405.63

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Solution

The third proportional to 58,251.38 and 127,405.63 is: 278,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,251.38 : 127,405.63 = 127,405.63 : x
  2. Step 2: Convert to fraction form
    58,251.38/127,405.63 = 127,405.63/x
  3. Step 3: Cross multiply
    58,251.38x = 127,405.63 × 127,405.63
  4. Step 4: Simplify right side
    58,251.38x = 16,232,193,281.64
  5. Step 5: Solve for x
    x = 16,232,193,281.64/58,251.38
  6. Step 6: Final answer
    x = 278,657.68

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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.