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Finding the Third Proportional to 83,533.50 and 129,256.88

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Solution

The third proportional to 83,533.50 and 129,256.88 is: 200,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.50 : 129,256.88 = 129,256.88 : x
  2. Step 2: Convert to fraction form
    83,533.50/129,256.88 = 129,256.88/x
  3. Step 3: Cross multiply
    83,533.50x = 129,256.88 × 129,256.88
  4. Step 4: Simplify right side
    83,533.50x = 16,707,339,734.77
  5. Step 5: Solve for x
    x = 16,707,339,734.77/83,533.50
  6. Step 6: Final answer
    x = 200,007.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.