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Finding the Third Proportional to 54,922 and 88,431

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Solution

The third proportional to 54,922 and 88,431 is: 142,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,922 : 88,431 = 88,431 : x
  2. Step 2: Convert to fraction form
    54,922/88,431 = 88,431/x
  3. Step 3: Cross multiply
    54,922x = 88,431 × 88,431
  4. Step 4: Simplify right side
    54,922x = 7,820,041,761
  5. Step 5: Solve for x
    x = 7,820,041,761/54,922
  6. Step 6: Final answer
    x = 142,384.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.