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Finding the Third Proportional to 54,438 and 83,274

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Solution

The third proportional to 54,438 and 83,274 is: 127,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438 : 83,274 = 83,274 : x
  2. Step 2: Convert to fraction form
    54,438/83,274 = 83,274/x
  3. Step 3: Cross multiply
    54,438x = 83,274 × 83,274
  4. Step 4: Simplify right side
    54,438x = 6,934,559,076
  5. Step 5: Solve for x
    x = 6,934,559,076/54,438
  6. Step 6: Final answer
    x = 127,384.53

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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.