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Finding the Third Proportional to 85,114.13 and 123,661.69

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Solution

The third proportional to 85,114.13 and 123,661.69 is: 179,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,114.13 : 123,661.69 = 123,661.69 : x
  2. Step 2: Convert to fraction form
    85,114.13/123,661.69 = 123,661.69/x
  3. Step 3: Cross multiply
    85,114.13x = 123,661.69 × 123,661.69
  4. Step 4: Simplify right side
    85,114.13x = 15,292,212,955.35
  5. Step 5: Solve for x
    x = 15,292,212,955.35/85,114.13
  6. Step 6: Final answer
    x = 179,667.16

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.