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Finding the Third Proportional to 54,551 and 117,709

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Solution

The third proportional to 54,551 and 117,709 is: 253,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,551 : 117,709 = 117,709 : x
  2. Step 2: Convert to fraction form
    54,551/117,709 = 117,709/x
  3. Step 3: Cross multiply
    54,551x = 117,709 × 117,709
  4. Step 4: Simplify right side
    54,551x = 13,855,408,681
  5. Step 5: Solve for x
    x = 13,855,408,681/54,551
  6. Step 6: Final answer
    x = 253,990.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.