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Finding the Third Proportional to 52,856 and 72,480

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Solution

The third proportional to 52,856 and 72,480 is: 99,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,856 : 72,480 = 72,480 : x
  2. Step 2: Convert to fraction form
    52,856/72,480 = 72,480/x
  3. Step 3: Cross multiply
    52,856x = 72,480 × 72,480
  4. Step 4: Simplify right side
    52,856x = 5,253,350,400
  5. Step 5: Solve for x
    x = 5,253,350,400/52,856
  6. Step 6: Final answer
    x = 99,389.86

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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.