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Finding the Third Proportional to 132,853.50 and 143,788.50

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Solution

The third proportional to 132,853.50 and 143,788.50 is: 155,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,853.50 : 143,788.50 = 143,788.50 : x
  2. Step 2: Convert to fraction form
    132,853.50/143,788.50 = 143,788.50/x
  3. Step 3: Cross multiply
    132,853.50x = 143,788.50 × 143,788.50
  4. Step 4: Simplify right side
    132,853.50x = 20,675,132,732.25
  5. Step 5: Solve for x
    x = 20,675,132,732.25/132,853.50
  6. Step 6: Final answer
    x = 155,623.55

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.