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Finding the Third Proportional to 27,178 and 59,548

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Solution

The third proportional to 27,178 and 59,548 is: 130,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 59,548 = 59,548 : x
  2. Step 2: Convert to fraction form
    27,178/59,548 = 59,548/x
  3. Step 3: Cross multiply
    27,178x = 59,548 × 59,548
  4. Step 4: Simplify right side
    27,178x = 3,545,964,304
  5. Step 5: Solve for x
    x = 3,545,964,304/27,178
  6. Step 6: Final answer
    x = 130,471.86

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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.