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Finding the Third Proportional to 106,165.50 and 231,063

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Solution

The third proportional to 106,165.50 and 231,063 is: 502,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,165.50 : 231,063 = 231,063 : x
  2. Step 2: Convert to fraction form
    106,165.50/231,063 = 231,063/x
  3. Step 3: Cross multiply
    106,165.50x = 231,063 × 231,063
  4. Step 4: Simplify right side
    106,165.50x = 53,390,109,969
  5. Step 5: Solve for x
    x = 53,390,109,969/106,165.50
  6. Step 6: Final answer
    x = 502,895.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.