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Finding the Third Proportional to 48,124 and 72,113

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Solution

The third proportional to 48,124 and 72,113 is: 108,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,124 : 72,113 = 72,113 : x
  2. Step 2: Convert to fraction form
    48,124/72,113 = 72,113/x
  3. Step 3: Cross multiply
    48,124x = 72,113 × 72,113
  4. Step 4: Simplify right side
    48,124x = 5,200,284,769
  5. Step 5: Solve for x
    x = 5,200,284,769/48,124
  6. Step 6: Final answer
    x = 108,060.11

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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.