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Finding the Third Proportional to 140,103 and 213,058.50

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Solution

The third proportional to 140,103 and 213,058.50 is: 324,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103 : 213,058.50 = 213,058.50 : x
  2. Step 2: Convert to fraction form
    140,103/213,058.50 = 213,058.50/x
  3. Step 3: Cross multiply
    140,103x = 213,058.50 × 213,058.50
  4. Step 4: Simplify right side
    140,103x = 45,393,924,422.25
  5. Step 5: Solve for x
    x = 45,393,924,422.25/140,103
  6. Step 6: Final answer
    x = 324,003.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.