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Finding the Third Proportional to 52,106 and 80,733

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Solution

The third proportional to 52,106 and 80,733 is: 125,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106 : 80,733 = 80,733 : x
  2. Step 2: Convert to fraction form
    52,106/80,733 = 80,733/x
  3. Step 3: Cross multiply
    52,106x = 80,733 × 80,733
  4. Step 4: Simplify right side
    52,106x = 6,517,817,289
  5. Step 5: Solve for x
    x = 6,517,817,289/52,106
  6. Step 6: Final answer
    x = 125,087.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.