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Finding the Third Proportional to 42,297.75 and 91,275.75

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Solution

The third proportional to 42,297.75 and 91,275.75 is: 196,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,297.75 : 91,275.75 = 91,275.75 : x
  2. Step 2: Convert to fraction form
    42,297.75/91,275.75 = 91,275.75/x
  3. Step 3: Cross multiply
    42,297.75x = 91,275.75 × 91,275.75
  4. Step 4: Simplify right side
    42,297.75x = 8,331,262,538.06
  5. Step 5: Solve for x
    x = 8,331,262,538.06/42,297.75
  6. Step 6: Final answer
    x = 196,967.04

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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.