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Finding the Third Proportional to 49,273 and 75,139

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Solution

The third proportional to 49,273 and 75,139 is: 114,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,273 : 75,139 = 75,139 : x
  2. Step 2: Convert to fraction form
    49,273/75,139 = 75,139/x
  3. Step 3: Cross multiply
    49,273x = 75,139 × 75,139
  4. Step 4: Simplify right side
    49,273x = 5,645,869,321
  5. Step 5: Solve for x
    x = 5,645,869,321/49,273
  6. Step 6: Final answer
    x = 114,583.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.