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Finding the Third Proportional to 54,092 and 83,973

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Solution

The third proportional to 54,092 and 83,973 is: 130,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,092 : 83,973 = 83,973 : x
  2. Step 2: Convert to fraction form
    54,092/83,973 = 83,973/x
  3. Step 3: Cross multiply
    54,092x = 83,973 × 83,973
  4. Step 4: Simplify right side
    54,092x = 7,051,464,729
  5. Step 5: Solve for x
    x = 7,051,464,729/54,092
  6. Step 6: Final answer
    x = 130,360.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.