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Finding the Third Proportional to 81,086 and 121,506

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Solution

The third proportional to 81,086 and 121,506 is: 182,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,086 : 121,506 = 121,506 : x
  2. Step 2: Convert to fraction form
    81,086/121,506 = 121,506/x
  3. Step 3: Cross multiply
    81,086x = 121,506 × 121,506
  4. Step 4: Simplify right side
    81,086x = 14,763,708,036
  5. Step 5: Solve for x
    x = 14,763,708,036/81,086
  6. Step 6: Final answer
    x = 182,074.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.