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Finding the Third Proportional to 83,473 and 127,274

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Solution

The third proportional to 83,473 and 127,274 is: 194,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473 : 127,274 = 127,274 : x
  2. Step 2: Convert to fraction form
    83,473/127,274 = 127,274/x
  3. Step 3: Cross multiply
    83,473x = 127,274 × 127,274
  4. Step 4: Simplify right side
    83,473x = 16,198,671,076
  5. Step 5: Solve for x
    x = 16,198,671,076/83,473
  6. Step 6: Final answer
    x = 194,058.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.