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Finding the Third Proportional to 86,906.25 and 116,400.38

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Solution

The third proportional to 86,906.25 and 116,400.38 is: 155,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,906.25 : 116,400.38 = 116,400.38 : x
  2. Step 2: Convert to fraction form
    86,906.25/116,400.38 = 116,400.38/x
  3. Step 3: Cross multiply
    86,906.25x = 116,400.38 × 116,400.38
  4. Step 4: Simplify right side
    86,906.25x = 13,549,047,300.14
  5. Step 5: Solve for x
    x = 13,549,047,300.14/86,906.25
  6. Step 6: Final answer
    x = 155,904.18

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.