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Finding the Third Proportional to 54,062 and 86,090

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Solution

The third proportional to 54,062 and 86,090 is: 137,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062 : 86,090 = 86,090 : x
  2. Step 2: Convert to fraction form
    54,062/86,090 = 86,090/x
  3. Step 3: Cross multiply
    54,062x = 86,090 × 86,090
  4. Step 4: Simplify right side
    54,062x = 7,411,488,100
  5. Step 5: Solve for x
    x = 7,411,488,100/54,062
  6. Step 6: Final answer
    x = 137,092.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.