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Finding the Third Proportional to 132,016.50 and 175,054.50

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Solution

The third proportional to 132,016.50 and 175,054.50 is: 232,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,016.50 : 175,054.50 = 175,054.50 : x
  2. Step 2: Convert to fraction form
    132,016.50/175,054.50 = 175,054.50/x
  3. Step 3: Cross multiply
    132,016.50x = 175,054.50 × 175,054.50
  4. Step 4: Simplify right side
    132,016.50x = 30,644,077,970.25
  5. Step 5: Solve for x
    x = 30,644,077,970.25/132,016.50
  6. Step 6: Final answer
    x = 232,123.09

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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.