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Finding the Third Proportional to 57,882.50 and 118,837

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Solution

The third proportional to 57,882.50 and 118,837 is: 243,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882.50 : 118,837 = 118,837 : x
  2. Step 2: Convert to fraction form
    57,882.50/118,837 = 118,837/x
  3. Step 3: Cross multiply
    57,882.50x = 118,837 × 118,837
  4. Step 4: Simplify right side
    57,882.50x = 14,122,232,569
  5. Step 5: Solve for x
    x = 14,122,232,569/57,882.50
  6. Step 6: Final answer
    x = 243,981.04

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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.