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Finding the Third Proportional to 105,876 and 168,534

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Solution

The third proportional to 105,876 and 168,534 is: 268,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876 : 168,534 = 168,534 : x
  2. Step 2: Convert to fraction form
    105,876/168,534 = 168,534/x
  3. Step 3: Cross multiply
    105,876x = 168,534 × 168,534
  4. Step 4: Simplify right side
    105,876x = 28,403,709,156
  5. Step 5: Solve for x
    x = 28,403,709,156/105,876
  6. Step 6: Final answer
    x = 268,273.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.