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Finding the Third Proportional to 54,432 and 83,254.50

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Solution

The third proportional to 54,432 and 83,254.50 is: 127,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,432 : 83,254.50 = 83,254.50 : x
  2. Step 2: Convert to fraction form
    54,432/83,254.50 = 83,254.50/x
  3. Step 3: Cross multiply
    54,432x = 83,254.50 × 83,254.50
  4. Step 4: Simplify right side
    54,432x = 6,931,311,770.25
  5. Step 5: Solve for x
    x = 6,931,311,770.25/54,432
  6. Step 6: Final answer
    x = 127,338.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.