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Finding the Third Proportional to 103,340.25 and 146,265.19

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Solution

The third proportional to 103,340.25 and 146,265.19 is: 207,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,340.25 : 146,265.19 = 146,265.19 : x
  2. Step 2: Convert to fraction form
    103,340.25/146,265.19 = 146,265.19/x
  3. Step 3: Cross multiply
    103,340.25x = 146,265.19 × 146,265.19
  4. Step 4: Simplify right side
    103,340.25x = 21,393,505,074.41
  5. Step 5: Solve for x
    x = 21,393,505,074.41/103,340.25
  6. Step 6: Final answer
    x = 207,020.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.