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Finding the Third Proportional to 52,472 and 113,280

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Solution

The third proportional to 52,472 and 113,280 is: 244,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472 : 113,280 = 113,280 : x
  2. Step 2: Convert to fraction form
    52,472/113,280 = 113,280/x
  3. Step 3: Cross multiply
    52,472x = 113,280 × 113,280
  4. Step 4: Simplify right side
    52,472x = 12,832,358,400
  5. Step 5: Solve for x
    x = 12,832,358,400/52,472
  6. Step 6: Final answer
    x = 244,556.30

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