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Finding the Third Proportional to 132,021 and 175,060

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Solution

The third proportional to 132,021 and 175,060 is: 232,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021 : 175,060 = 175,060 : x
  2. Step 2: Convert to fraction form
    132,021/175,060 = 175,060/x
  3. Step 3: Cross multiply
    132,021x = 175,060 × 175,060
  4. Step 4: Simplify right side
    132,021x = 30,646,003,600
  5. Step 5: Solve for x
    x = 30,646,003,600/132,021
  6. Step 6: Final answer
    x = 232,129.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.