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Finding the Third Proportional to 83,965.99 and 175,723.17

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Solution

The third proportional to 83,965.99 and 175,723.17 is: 367,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,965.99 : 175,723.17 = 175,723.17 : x
  2. Step 2: Convert to fraction form
    83,965.99/175,723.17 = 175,723.17/x
  3. Step 3: Cross multiply
    83,965.99x = 175,723.17 × 175,723.17
  4. Step 4: Simplify right side
    83,965.99x = 30,878,633,133.81
  5. Step 5: Solve for x
    x = 30,878,633,133.81/83,965.99
  6. Step 6: Final answer
    x = 367,751.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.