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Finding the Third Proportional to 79,809.47 and 119,022

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Solution

The third proportional to 79,809.47 and 119,022 is: 177,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,809.47 : 119,022 = 119,022 : x
  2. Step 2: Convert to fraction form
    79,809.47/119,022 = 119,022/x
  3. Step 3: Cross multiply
    79,809.47x = 119,022 × 119,022
  4. Step 4: Simplify right side
    79,809.47x = 14,166,236,484
  5. Step 5: Solve for x
    x = 14,166,236,484/79,809.47
  6. Step 6: Final answer
    x = 177,500.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.