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Finding the Third Proportional to 42,327 and 90,490.50

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Solution

The third proportional to 42,327 and 90,490.50 is: 193,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,327 : 90,490.50 = 90,490.50 : x
  2. Step 2: Convert to fraction form
    42,327/90,490.50 = 90,490.50/x
  3. Step 3: Cross multiply
    42,327x = 90,490.50 × 90,490.50
  4. Step 4: Simplify right side
    42,327x = 8,188,530,590.25
  5. Step 5: Solve for x
    x = 8,188,530,590.25/42,327
  6. Step 6: Final answer
    x = 193,458.80

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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.