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Finding the Third Proportional to 52,911.98 and 81,963.14

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Solution

The third proportional to 52,911.98 and 81,963.14 is: 126,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,911.98 : 81,963.14 = 81,963.14 : x
  2. Step 2: Convert to fraction form
    52,911.98/81,963.14 = 81,963.14/x
  3. Step 3: Cross multiply
    52,911.98x = 81,963.14 × 81,963.14
  4. Step 4: Simplify right side
    52,911.98x = 6,717,956,421.11
  5. Step 5: Solve for x
    x = 6,717,956,421.11/52,911.98
  6. Step 6: Final answer
    x = 126,964.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.