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Finding the Third Proportional to 40,437 and 85,063

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Solution

The third proportional to 40,437 and 85,063 is: 178,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,437 : 85,063 = 85,063 : x
  2. Step 2: Convert to fraction form
    40,437/85,063 = 85,063/x
  3. Step 3: Cross multiply
    40,437x = 85,063 × 85,063
  4. Step 4: Simplify right side
    40,437x = 7,235,713,969
  5. Step 5: Solve for x
    x = 7,235,713,969/40,437
  6. Step 6: Final answer
    x = 178,937.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.