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Finding the Third Proportional to 52,876 and 72,510

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Solution

The third proportional to 52,876 and 72,510 is: 99,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876 : 72,510 = 72,510 : x
  2. Step 2: Convert to fraction form
    52,876/72,510 = 72,510/x
  3. Step 3: Cross multiply
    52,876x = 72,510 × 72,510
  4. Step 4: Simplify right side
    52,876x = 5,257,700,100
  5. Step 5: Solve for x
    x = 5,257,700,100/52,876
  6. Step 6: Final answer
    x = 99,434.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.