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Finding the Third Proportional to 105,914 and 163,569

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Solution

The third proportional to 105,914 and 163,569 is: 252,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,914 : 163,569 = 163,569 : x
  2. Step 2: Convert to fraction form
    105,914/163,569 = 163,569/x
  3. Step 3: Cross multiply
    105,914x = 163,569 × 163,569
  4. Step 4: Simplify right side
    105,914x = 26,754,817,761
  5. Step 5: Solve for x
    x = 26,754,817,761/105,914
  6. Step 6: Final answer
    x = 252,608.89

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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.