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Finding the Third Proportional to 72,799 and 109,711.50

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Solution

The third proportional to 72,799 and 109,711.50 is: 165,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,799 : 109,711.50 = 109,711.50 : x
  2. Step 2: Convert to fraction form
    72,799/109,711.50 = 109,711.50/x
  3. Step 3: Cross multiply
    72,799x = 109,711.50 × 109,711.50
  4. Step 4: Simplify right side
    72,799x = 12,036,613,232.25
  5. Step 5: Solve for x
    x = 12,036,613,232.25/72,799
  6. Step 6: Final answer
    x = 165,340.37

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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.