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Finding the Third Proportional to 85,090.88 and 141,325.31

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Solution

The third proportional to 85,090.88 and 141,325.31 is: 234,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,090.88 : 141,325.31 = 141,325.31 : x
  2. Step 2: Convert to fraction form
    85,090.88/141,325.31 = 141,325.31/x
  3. Step 3: Cross multiply
    85,090.88x = 141,325.31 × 141,325.31
  4. Step 4: Simplify right side
    85,090.88x = 19,972,843,953.22
  5. Step 5: Solve for x
    x = 19,972,843,953.22/85,090.88
  6. Step 6: Final answer
    x = 234,723.69

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.