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Finding the Third Proportional to 49,959 and 75,455

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Solution

The third proportional to 49,959 and 75,455 is: 113,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,959 : 75,455 = 75,455 : x
  2. Step 2: Convert to fraction form
    49,959/75,455 = 75,455/x
  3. Step 3: Cross multiply
    49,959x = 75,455 × 75,455
  4. Step 4: Simplify right side
    49,959x = 5,693,457,025
  5. Step 5: Solve for x
    x = 5,693,457,025/49,959
  6. Step 6: Final answer
    x = 113,962.59

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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.