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Finding the Third Proportional to 59,458 and 80,986

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Solution

The third proportional to 59,458 and 80,986 is: 110,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,458 : 80,986 = 80,986 : x
  2. Step 2: Convert to fraction form
    59,458/80,986 = 80,986/x
  3. Step 3: Cross multiply
    59,458x = 80,986 × 80,986
  4. Step 4: Simplify right side
    59,458x = 6,558,732,196
  5. Step 5: Solve for x
    x = 6,558,732,196/59,458
  6. Step 6: Final answer
    x = 110,308.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.