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Finding the Third Proportional to 42,659 and 91,859

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Solution

The third proportional to 42,659 and 91,859 is: 197,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,659 : 91,859 = 91,859 : x
  2. Step 2: Convert to fraction form
    42,659/91,859 = 91,859/x
  3. Step 3: Cross multiply
    42,659x = 91,859 × 91,859
  4. Step 4: Simplify right side
    42,659x = 8,438,075,881
  5. Step 5: Solve for x
    x = 8,438,075,881/42,659
  6. Step 6: Final answer
    x = 197,802.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.