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Finding the Third Proportional to 59,692 and 127,578

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Solution

The third proportional to 59,692 and 127,578 is: 272,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,692 : 127,578 = 127,578 : x
  2. Step 2: Convert to fraction form
    59,692/127,578 = 127,578/x
  3. Step 3: Cross multiply
    59,692x = 127,578 × 127,578
  4. Step 4: Simplify right side
    59,692x = 16,276,146,084
  5. Step 5: Solve for x
    x = 16,276,146,084/59,692
  6. Step 6: Final answer
    x = 272,668.80

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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.