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Finding the Third Proportional to 132,012 and 175,050

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Solution

The third proportional to 132,012 and 175,050 is: 232,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,012 : 175,050 = 175,050 : x
  2. Step 2: Convert to fraction form
    132,012/175,050 = 175,050/x
  3. Step 3: Cross multiply
    132,012x = 175,050 × 175,050
  4. Step 4: Simplify right side
    132,012x = 30,642,502,500
  5. Step 5: Solve for x
    x = 30,642,502,500/132,012
  6. Step 6: Final answer
    x = 232,119.07

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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.