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Finding the Third Proportional to 42,707.25 and 90,335.25

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Solution

The third proportional to 42,707.25 and 90,335.25 is: 191,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,707.25 : 90,335.25 = 90,335.25 : x
  2. Step 2: Convert to fraction form
    42,707.25/90,335.25 = 90,335.25/x
  3. Step 3: Cross multiply
    42,707.25x = 90,335.25 × 90,335.25
  4. Step 4: Simplify right side
    42,707.25x = 8,160,457,392.56
  5. Step 5: Solve for x
    x = 8,160,457,392.56/42,707.25
  6. Step 6: Final answer
    x = 191,078.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.