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Finding the Third Proportional to 59,159 and 121,079

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Solution

The third proportional to 59,159 and 121,079 is: 247,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,159 : 121,079 = 121,079 : x
  2. Step 2: Convert to fraction form
    59,159/121,079 = 121,079/x
  3. Step 3: Cross multiply
    59,159x = 121,079 × 121,079
  4. Step 4: Simplify right side
    59,159x = 14,660,124,241
  5. Step 5: Solve for x
    x = 14,660,124,241/59,159
  6. Step 6: Final answer
    x = 247,808.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.