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Finding the Third Proportional to 132,396 and 185,202

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Solution

The third proportional to 132,396 and 185,202 is: 259,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,396 : 185,202 = 185,202 : x
  2. Step 2: Convert to fraction form
    132,396/185,202 = 185,202/x
  3. Step 3: Cross multiply
    132,396x = 185,202 × 185,202
  4. Step 4: Simplify right side
    132,396x = 34,299,780,804
  5. Step 5: Solve for x
    x = 34,299,780,804/132,396
  6. Step 6: Final answer
    x = 259,069.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.