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Finding the Third Proportional to 59,916 and 127,596

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Solution

The third proportional to 59,916 and 127,596 is: 271,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,916 : 127,596 = 127,596 : x
  2. Step 2: Convert to fraction form
    59,916/127,596 = 127,596/x
  3. Step 3: Cross multiply
    59,916x = 127,596 × 127,596
  4. Step 4: Simplify right side
    59,916x = 16,280,739,216
  5. Step 5: Solve for x
    x = 16,280,739,216/59,916
  6. Step 6: Final answer
    x = 271,726.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.