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Finding the Third Proportional to 59,535.95 and 127,260.33

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Solution

The third proportional to 59,535.95 and 127,260.33 is: 272,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,535.95 : 127,260.33 = 127,260.33 : x
  2. Step 2: Convert to fraction form
    59,535.95/127,260.33 = 127,260.33/x
  3. Step 3: Cross multiply
    59,535.95x = 127,260.33 × 127,260.33
  4. Step 4: Simplify right side
    59,535.95x = 16,195,192,605.82
  5. Step 5: Solve for x
    x = 16,195,192,605.82/59,535.95
  6. Step 6: Final answer
    x = 272,023.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.