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Finding the Third Proportional to 72,431.25 and 116,342.25

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Solution

The third proportional to 72,431.25 and 116,342.25 is: 186,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,431.25 : 116,342.25 = 116,342.25 : x
  2. Step 2: Convert to fraction form
    72,431.25/116,342.25 = 116,342.25/x
  3. Step 3: Cross multiply
    72,431.25x = 116,342.25 × 116,342.25
  4. Step 4: Simplify right side
    72,431.25x = 13,535,519,135.06
  5. Step 5: Solve for x
    x = 13,535,519,135.06/72,431.25
  6. Step 6: Final answer
    x = 186,874.02

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.