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Finding the Third Proportional to 82,293 and 124,591.50

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Solution

The third proportional to 82,293 and 124,591.50 is: 188,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,293 : 124,591.50 = 124,591.50 : x
  2. Step 2: Convert to fraction form
    82,293/124,591.50 = 124,591.50/x
  3. Step 3: Cross multiply
    82,293x = 124,591.50 × 124,591.50
  4. Step 4: Simplify right side
    82,293x = 15,523,041,872.25
  5. Step 5: Solve for x
    x = 15,523,041,872.25/82,293
  6. Step 6: Final answer
    x = 188,631.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.