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Finding the Third Proportional to 105,021 and 161,424

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Solution

The third proportional to 105,021 and 161,424 is: 248,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,021 : 161,424 = 161,424 : x
  2. Step 2: Convert to fraction form
    105,021/161,424 = 161,424/x
  3. Step 3: Cross multiply
    105,021x = 161,424 × 161,424
  4. Step 4: Simplify right side
    105,021x = 26,057,707,776
  5. Step 5: Solve for x
    x = 26,057,707,776/105,021
  6. Step 6: Final answer
    x = 248,119.02

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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.