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Finding the Third Proportional to 42,531.75 and 91,707.38

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Solution

The third proportional to 42,531.75 and 91,707.38 is: 197,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,531.75 : 91,707.38 = 91,707.38 : x
  2. Step 2: Convert to fraction form
    42,531.75/91,707.38 = 91,707.38/x
  3. Step 3: Cross multiply
    42,531.75x = 91,707.38 × 91,707.38
  4. Step 4: Simplify right side
    42,531.75x = 8,410,242,629.39
  5. Step 5: Solve for x
    x = 8,410,242,629.39/42,531.75
  6. Step 6: Final answer
    x = 197,740.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.