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Finding the Third Proportional to 52,393.50 and 107,217

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Solution

The third proportional to 52,393.50 and 107,217 is: 219,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,393.50 : 107,217 = 107,217 : x
  2. Step 2: Convert to fraction form
    52,393.50/107,217 = 107,217/x
  3. Step 3: Cross multiply
    52,393.50x = 107,217 × 107,217
  4. Step 4: Simplify right side
    52,393.50x = 11,495,485,089
  5. Step 5: Solve for x
    x = 11,495,485,089/52,393.50
  6. Step 6: Final answer
    x = 219,406.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.