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Finding the Third Proportional to 55,240 and 84,958

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Solution

The third proportional to 55,240 and 84,958 is: 130,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,240 : 84,958 = 84,958 : x
  2. Step 2: Convert to fraction form
    55,240/84,958 = 84,958/x
  3. Step 3: Cross multiply
    55,240x = 84,958 × 84,958
  4. Step 4: Simplify right side
    55,240x = 7,217,861,764
  5. Step 5: Solve for x
    x = 7,217,861,764/55,240
  6. Step 6: Final answer
    x = 130,663.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.