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Finding the Third Proportional to 84,698.25 and 123,864

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Solution

The third proportional to 84,698.25 and 123,864 is: 181,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,698.25 : 123,864 = 123,864 : x
  2. Step 2: Convert to fraction form
    84,698.25/123,864 = 123,864/x
  3. Step 3: Cross multiply
    84,698.25x = 123,864 × 123,864
  4. Step 4: Simplify right side
    84,698.25x = 15,342,290,496
  5. Step 5: Solve for x
    x = 15,342,290,496/84,698.25
  6. Step 6: Final answer
    x = 181,140.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.