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Finding the Third Proportional to 106,988.25 and 165,572.25

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Solution

The third proportional to 106,988.25 and 165,572.25 is: 256,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988.25 : 165,572.25 = 165,572.25 : x
  2. Step 2: Convert to fraction form
    106,988.25/165,572.25 = 165,572.25/x
  3. Step 3: Cross multiply
    106,988.25x = 165,572.25 × 165,572.25
  4. Step 4: Simplify right side
    106,988.25x = 27,414,169,970.06
  5. Step 5: Solve for x
    x = 27,414,169,970.06/106,988.25
  6. Step 6: Final answer
    x = 256,235.33

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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.