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Finding the Third Proportional to 132,071 and 275,086

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Solution

The third proportional to 132,071 and 275,086 is: 572,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,071 : 275,086 = 275,086 : x
  2. Step 2: Convert to fraction form
    132,071/275,086 = 275,086/x
  3. Step 3: Cross multiply
    132,071x = 275,086 × 275,086
  4. Step 4: Simplify right side
    132,071x = 75,672,307,396
  5. Step 5: Solve for x
    x = 75,672,307,396/132,071
  6. Step 6: Final answer
    x = 572,966.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.