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Finding the Third Proportional to 51,565.50 and 109,233

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Solution

The third proportional to 51,565.50 and 109,233 is: 231,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,565.50 : 109,233 = 109,233 : x
  2. Step 2: Convert to fraction form
    51,565.50/109,233 = 109,233/x
  3. Step 3: Cross multiply
    51,565.50x = 109,233 × 109,233
  4. Step 4: Simplify right side
    51,565.50x = 11,931,848,289
  5. Step 5: Solve for x
    x = 11,931,848,289/51,565.50
  6. Step 6: Final answer
    x = 231,392.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.