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Finding the Third Proportional to 83,298 and 132,479

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Solution

The third proportional to 83,298 and 132,479 is: 210,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,298 : 132,479 = 132,479 : x
  2. Step 2: Convert to fraction form
    83,298/132,479 = 132,479/x
  3. Step 3: Cross multiply
    83,298x = 132,479 × 132,479
  4. Step 4: Simplify right side
    83,298x = 17,550,685,441
  5. Step 5: Solve for x
    x = 17,550,685,441/83,298
  6. Step 6: Final answer
    x = 210,697.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.