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Finding the Third Proportional to 45,984 and 71,228

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Solution

The third proportional to 45,984 and 71,228 is: 110,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984 : 71,228 = 71,228 : x
  2. Step 2: Convert to fraction form
    45,984/71,228 = 71,228/x
  3. Step 3: Cross multiply
    45,984x = 71,228 × 71,228
  4. Step 4: Simplify right side
    45,984x = 5,073,427,984
  5. Step 5: Solve for x
    x = 5,073,427,984/45,984
  6. Step 6: Final answer
    x = 110,330.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.