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Finding the Third Proportional to 105,386.06 and 165,138.75

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Solution

The third proportional to 105,386.06 and 165,138.75 is: 258,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,386.06 : 165,138.75 = 165,138.75 : x
  2. Step 2: Convert to fraction form
    105,386.06/165,138.75 = 165,138.75/x
  3. Step 3: Cross multiply
    105,386.06x = 165,138.75 × 165,138.75
  4. Step 4: Simplify right side
    105,386.06x = 27,270,806,751.56
  5. Step 5: Solve for x
    x = 27,270,806,751.56/105,386.06
  6. Step 6: Final answer
    x = 258,770.53

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