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Finding the Third Proportional to 42,338 and 90,512.50

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Solution

The third proportional to 42,338 and 90,512.50 is: 193,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338 : 90,512.50 = 90,512.50 : x
  2. Step 2: Convert to fraction form
    42,338/90,512.50 = 90,512.50/x
  3. Step 3: Cross multiply
    42,338x = 90,512.50 × 90,512.50
  4. Step 4: Simplify right side
    42,338x = 8,192,512,656.25
  5. Step 5: Solve for x
    x = 8,192,512,656.25/42,338
  6. Step 6: Final answer
    x = 193,502.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.