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Finding the Third Proportional to 42,996 and 65,143.25

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Solution

The third proportional to 42,996 and 65,143.25 is: 98,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996 : 65,143.25 = 65,143.25 : x
  2. Step 2: Convert to fraction form
    42,996/65,143.25 = 65,143.25/x
  3. Step 3: Cross multiply
    42,996x = 65,143.25 × 65,143.25
  4. Step 4: Simplify right side
    42,996x = 4,243,643,020.56
  5. Step 5: Solve for x
    x = 4,243,643,020.56/42,996
  6. Step 6: Final answer
    x = 98,698.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.