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Finding the Third Proportional to 94,530.25 and 146,443.25

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Solution

The third proportional to 94,530.25 and 146,443.25 is: 226,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,530.25 : 146,443.25 = 146,443.25 : x
  2. Step 2: Convert to fraction form
    94,530.25/146,443.25 = 146,443.25/x
  3. Step 3: Cross multiply
    94,530.25x = 146,443.25 × 146,443.25
  4. Step 4: Simplify right side
    94,530.25x = 21,445,625,470.56
  5. Step 5: Solve for x
    x = 21,445,625,470.56/94,530.25
  6. Step 6: Final answer
    x = 226,865.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.