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Finding the Third Proportional to 106,373.25 and 161,770.50

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Solution

The third proportional to 106,373.25 and 161,770.50 is: 246,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,373.25 : 161,770.50 = 161,770.50 : x
  2. Step 2: Convert to fraction form
    106,373.25/161,770.50 = 161,770.50/x
  3. Step 3: Cross multiply
    106,373.25x = 161,770.50 × 161,770.50
  4. Step 4: Simplify right side
    106,373.25x = 26,169,694,670.25
  5. Step 5: Solve for x
    x = 26,169,694,670.25/106,373.25
  6. Step 6: Final answer
    x = 246,017.63

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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.