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Finding the Third Proportional to 73,213.24 and 111,366.14

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Solution

The third proportional to 73,213.24 and 111,366.14 is: 169,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,213.24 : 111,366.14 = 111,366.14 : x
  2. Step 2: Convert to fraction form
    73,213.24/111,366.14 = 111,366.14/x
  3. Step 3: Cross multiply
    73,213.24x = 111,366.14 × 111,366.14
  4. Step 4: Simplify right side
    73,213.24x = 12,402,417,277.71
  5. Step 5: Solve for x
    x = 12,402,417,277.71/73,213.24
  6. Step 6: Final answer
    x = 169,401.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.