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Finding the Third Proportional to 49,501 and 106,730

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Solution

The third proportional to 49,501 and 106,730 is: 230,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,501 : 106,730 = 106,730 : x
  2. Step 2: Convert to fraction form
    49,501/106,730 = 106,730/x
  3. Step 3: Cross multiply
    49,501x = 106,730 × 106,730
  4. Step 4: Simplify right side
    49,501x = 11,391,292,900
  5. Step 5: Solve for x
    x = 11,391,292,900/49,501
  6. Step 6: Final answer
    x = 230,122.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.