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Finding the Third Proportional to 98,275 and 155,864

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Solution

The third proportional to 98,275 and 155,864 is: 247,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,275 : 155,864 = 155,864 : x
  2. Step 2: Convert to fraction form
    98,275/155,864 = 155,864/x
  3. Step 3: Cross multiply
    98,275x = 155,864 × 155,864
  4. Step 4: Simplify right side
    98,275x = 24,293,586,496
  5. Step 5: Solve for x
    x = 24,293,586,496/98,275
  6. Step 6: Final answer
    x = 247,200.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.