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Finding the Third Proportional to 82,892 and 127,482

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Solution

The third proportional to 82,892 and 127,482 is: 196,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892 : 127,482 = 127,482 : x
  2. Step 2: Convert to fraction form
    82,892/127,482 = 127,482/x
  3. Step 3: Cross multiply
    82,892x = 127,482 × 127,482
  4. Step 4: Simplify right side
    82,892x = 16,251,660,324
  5. Step 5: Solve for x
    x = 16,251,660,324/82,892
  6. Step 6: Final answer
    x = 196,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.