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Finding the Third Proportional to 85,513.69 and 134,143.31

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Solution

The third proportional to 85,513.69 and 134,143.31 is: 210,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,513.69 : 134,143.31 = 134,143.31 : x
  2. Step 2: Convert to fraction form
    85,513.69/134,143.31 = 134,143.31/x
  3. Step 3: Cross multiply
    85,513.69x = 134,143.31 × 134,143.31
  4. Step 4: Simplify right side
    85,513.69x = 17,994,428,288.47
  5. Step 5: Solve for x
    x = 17,994,428,288.47/85,513.69
  6. Step 6: Final answer
    x = 210,427.46

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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.