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Finding the Third Proportional to 54,681.75 and 85,667.63

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Solution

The third proportional to 54,681.75 and 85,667.63 is: 134,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681.75 : 85,667.63 = 85,667.63 : x
  2. Step 2: Convert to fraction form
    54,681.75/85,667.63 = 85,667.63/x
  3. Step 3: Cross multiply
    54,681.75x = 85,667.63 × 85,667.63
  4. Step 4: Simplify right side
    54,681.75x = 7,338,941,973.14
  5. Step 5: Solve for x
    x = 7,338,941,973.14/54,681.75
  6. Step 6: Final answer
    x = 134,211.91

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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.