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Finding the Third Proportional to 49,109 and 107,776

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Solution

The third proportional to 49,109 and 107,776 is: 236,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,109 : 107,776 = 107,776 : x
  2. Step 2: Convert to fraction form
    49,109/107,776 = 107,776/x
  3. Step 3: Cross multiply
    49,109x = 107,776 × 107,776
  4. Step 4: Simplify right side
    49,109x = 11,615,666,176
  5. Step 5: Solve for x
    x = 11,615,666,176/49,109
  6. Step 6: Final answer
    x = 236,528.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.