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Finding the Third Proportional to 132,026 and 175,071

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Solution

The third proportional to 132,026 and 175,071 is: 232,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,026 : 175,071 = 175,071 : x
  2. Step 2: Convert to fraction form
    132,026/175,071 = 175,071/x
  3. Step 3: Cross multiply
    132,026x = 175,071 × 175,071
  4. Step 4: Simplify right side
    132,026x = 30,649,855,041
  5. Step 5: Solve for x
    x = 30,649,855,041/132,026
  6. Step 6: Final answer
    x = 232,150.14

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Why These Related Problems?

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