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Finding the Third Proportional to 49,713 and 75,294

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Solution

The third proportional to 49,713 and 75,294 is: 114,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,713 : 75,294 = 75,294 : x
  2. Step 2: Convert to fraction form
    49,713/75,294 = 75,294/x
  3. Step 3: Cross multiply
    49,713x = 75,294 × 75,294
  4. Step 4: Simplify right side
    49,713x = 5,669,186,436
  5. Step 5: Solve for x
    x = 5,669,186,436/49,713
  6. Step 6: Final answer
    x = 114,038.31

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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.