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Finding the Third Proportional to 132,633 and 195,034.50

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Solution

The third proportional to 132,633 and 195,034.50 is: 286,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,633 : 195,034.50 = 195,034.50 : x
  2. Step 2: Convert to fraction form
    132,633/195,034.50 = 195,034.50/x
  3. Step 3: Cross multiply
    132,633x = 195,034.50 × 195,034.50
  4. Step 4: Simplify right side
    132,633x = 38,038,456,190.25
  5. Step 5: Solve for x
    x = 38,038,456,190.25/132,633
  6. Step 6: Final answer
    x = 286,794.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.