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Finding the Third Proportional to 42,106.25 and 90,046.75

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Solution

The third proportional to 42,106.25 and 90,046.75 is: 192,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.25 : 90,046.75 = 90,046.75 : x
  2. Step 2: Convert to fraction form
    42,106.25/90,046.75 = 90,046.75/x
  3. Step 3: Cross multiply
    42,106.25x = 90,046.75 × 90,046.75
  4. Step 4: Simplify right side
    42,106.25x = 8,108,417,185.56
  5. Step 5: Solve for x
    x = 8,108,417,185.56/42,106.25
  6. Step 6: Final answer
    x = 192,570.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.