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Finding the Third Proportional to 105,907 and 161,344

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Solution

The third proportional to 105,907 and 161,344 is: 245,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907 : 161,344 = 161,344 : x
  2. Step 2: Convert to fraction form
    105,907/161,344 = 161,344/x
  3. Step 3: Cross multiply
    105,907x = 161,344 × 161,344
  4. Step 4: Simplify right side
    105,907x = 26,031,886,336
  5. Step 5: Solve for x
    x = 26,031,886,336/105,907
  6. Step 6: Final answer
    x = 245,799.49

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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.