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Finding the Third Proportional to 103,056 and 217,374

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Solution

The third proportional to 103,056 and 217,374 is: 458,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056 : 217,374 = 217,374 : x
  2. Step 2: Convert to fraction form
    103,056/217,374 = 217,374/x
  3. Step 3: Cross multiply
    103,056x = 217,374 × 217,374
  4. Step 4: Simplify right side
    103,056x = 47,251,455,876
  5. Step 5: Solve for x
    x = 47,251,455,876/103,056
  6. Step 6: Final answer
    x = 458,502.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.