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Finding the Third Proportional to 132,073 and 275,090

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Solution

The third proportional to 132,073 and 275,090 is: 572,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,073 : 275,090 = 275,090 : x
  2. Step 2: Convert to fraction form
    132,073/275,090 = 275,090/x
  3. Step 3: Cross multiply
    132,073x = 275,090 × 275,090
  4. Step 4: Simplify right side
    132,073x = 75,674,508,100
  5. Step 5: Solve for x
    x = 75,674,508,100/132,073
  6. Step 6: Final answer
    x = 572,974.86

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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.