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Finding the Third Proportional to 49,387 and 74,512

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Solution

The third proportional to 49,387 and 74,512 is: 112,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,387 : 74,512 = 74,512 : x
  2. Step 2: Convert to fraction form
    49,387/74,512 = 74,512/x
  3. Step 3: Cross multiply
    49,387x = 74,512 × 74,512
  4. Step 4: Simplify right side
    49,387x = 5,552,038,144
  5. Step 5: Solve for x
    x = 5,552,038,144/49,387
  6. Step 6: Final answer
    x = 112,419.02

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Why These Related Problems?

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