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Finding the Third Proportional to 55,494 and 84,631.50

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Solution

The third proportional to 55,494 and 84,631.50 is: 129,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494 : 84,631.50 = 84,631.50 : x
  2. Step 2: Convert to fraction form
    55,494/84,631.50 = 84,631.50/x
  3. Step 3: Cross multiply
    55,494x = 84,631.50 × 84,631.50
  4. Step 4: Simplify right side
    55,494x = 7,162,490,792.25
  5. Step 5: Solve for x
    x = 7,162,490,792.25/55,494
  6. Step 6: Final answer
    x = 129,067.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.