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Finding the Third Proportional to 49,163 and 75,666

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Solution

The third proportional to 49,163 and 75,666 is: 116,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163 : 75,666 = 75,666 : x
  2. Step 2: Convert to fraction form
    49,163/75,666 = 75,666/x
  3. Step 3: Cross multiply
    49,163x = 75,666 × 75,666
  4. Step 4: Simplify right side
    49,163x = 5,725,343,556
  5. Step 5: Solve for x
    x = 5,725,343,556/49,163
  6. Step 6: Final answer
    x = 116,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.