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Finding the Third Proportional to 102,744.38 and 161,216.25

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Solution

The third proportional to 102,744.38 and 161,216.25 is: 252,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744.38 : 161,216.25 = 161,216.25 : x
  2. Step 2: Convert to fraction form
    102,744.38/161,216.25 = 161,216.25/x
  3. Step 3: Cross multiply
    102,744.38x = 161,216.25 × 161,216.25
  4. Step 4: Simplify right side
    102,744.38x = 25,990,679,264.06
  5. Step 5: Solve for x
    x = 25,990,679,264.06/102,744.38
  6. Step 6: Final answer
    x = 252,964.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.