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Finding the Third Proportional to 67,836.75 and 99,723

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Solution

The third proportional to 67,836.75 and 99,723 is: 146,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,836.75 : 99,723 = 99,723 : x
  2. Step 2: Convert to fraction form
    67,836.75/99,723 = 99,723/x
  3. Step 3: Cross multiply
    67,836.75x = 99,723 × 99,723
  4. Step 4: Simplify right side
    67,836.75x = 9,944,676,729
  5. Step 5: Solve for x
    x = 9,944,676,729/67,836.75
  6. Step 6: Final answer
    x = 146,597.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.