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Finding the Third Proportional to 103,414 and 155,983

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Solution

The third proportional to 103,414 and 155,983 is: 235,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414 : 155,983 = 155,983 : x
  2. Step 2: Convert to fraction form
    103,414/155,983 = 155,983/x
  3. Step 3: Cross multiply
    103,414x = 155,983 × 155,983
  4. Step 4: Simplify right side
    103,414x = 24,330,696,289
  5. Step 5: Solve for x
    x = 24,330,696,289/103,414
  6. Step 6: Final answer
    x = 235,274.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.