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Finding the Third Proportional to 52,234.75 and 112,781.75

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Solution

The third proportional to 52,234.75 and 112,781.75 is: 243,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234.75 : 112,781.75 = 112,781.75 : x
  2. Step 2: Convert to fraction form
    52,234.75/112,781.75 = 112,781.75/x
  3. Step 3: Cross multiply
    52,234.75x = 112,781.75 × 112,781.75
  4. Step 4: Simplify right side
    52,234.75x = 12,719,723,133.06
  5. Step 5: Solve for x
    x = 12,719,723,133.06/52,234.75
  6. Step 6: Final answer
    x = 243,510.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.