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Finding the Third Proportional to 103,214 and 159,517

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Solution

The third proportional to 103,214 and 159,517 is: 246,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214 : 159,517 = 159,517 : x
  2. Step 2: Convert to fraction form
    103,214/159,517 = 159,517/x
  3. Step 3: Cross multiply
    103,214x = 159,517 × 159,517
  4. Step 4: Simplify right side
    103,214x = 25,445,673,289
  5. Step 5: Solve for x
    x = 25,445,673,289/103,214
  6. Step 6: Final answer
    x = 246,533.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.