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Finding the Third Proportional to 48,779 and 72,960

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Solution

The third proportional to 48,779 and 72,960 is: 109,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,779 : 72,960 = 72,960 : x
  2. Step 2: Convert to fraction form
    48,779/72,960 = 72,960/x
  3. Step 3: Cross multiply
    48,779x = 72,960 × 72,960
  4. Step 4: Simplify right side
    48,779x = 5,323,161,600
  5. Step 5: Solve for x
    x = 5,323,161,600/48,779
  6. Step 6: Final answer
    x = 109,128.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.