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Finding the Third Proportional to 77,724.75 and 170,246.25

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Solution

The third proportional to 77,724.75 and 170,246.25 is: 372,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,724.75 : 170,246.25 = 170,246.25 : x
  2. Step 2: Convert to fraction form
    77,724.75/170,246.25 = 170,246.25/x
  3. Step 3: Cross multiply
    77,724.75x = 170,246.25 × 170,246.25
  4. Step 4: Simplify right side
    77,724.75x = 28,983,785,639.06
  5. Step 5: Solve for x
    x = 28,983,785,639.06/77,724.75
  6. Step 6: Final answer
    x = 372,902.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.