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Finding the Third Proportional to 72,812 and 109,730

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Solution

The third proportional to 72,812 and 109,730 is: 165,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,812 : 109,730 = 109,730 : x
  2. Step 2: Convert to fraction form
    72,812/109,730 = 109,730/x
  3. Step 3: Cross multiply
    72,812x = 109,730 × 109,730
  4. Step 4: Simplify right side
    72,812x = 12,040,672,900
  5. Step 5: Solve for x
    x = 12,040,672,900/72,812
  6. Step 6: Final answer
    x = 165,366.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.