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Finding the Third Proportional to 107,895.94 and 163,342.97

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Solution

The third proportional to 107,895.94 and 163,342.97 is: 247,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,895.94 : 163,342.97 = 163,342.97 : x
  2. Step 2: Convert to fraction form
    107,895.94/163,342.97 = 163,342.97/x
  3. Step 3: Cross multiply
    107,895.94x = 163,342.97 × 163,342.97
  4. Step 4: Simplify right side
    107,895.94x = 26,680,925,440.06
  5. Step 5: Solve for x
    x = 26,680,925,440.06/107,895.94
  6. Step 6: Final answer
    x = 247,283.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.