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Finding the Third Proportional to 27,376 and 59,128

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Solution

The third proportional to 27,376 and 59,128 is: 127,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376 : 59,128 = 59,128 : x
  2. Step 2: Convert to fraction form
    27,376/59,128 = 59,128/x
  3. Step 3: Cross multiply
    27,376x = 59,128 × 59,128
  4. Step 4: Simplify right side
    27,376x = 3,496,120,384
  5. Step 5: Solve for x
    x = 3,496,120,384/27,376
  6. Step 6: Final answer
    x = 127,707.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.