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Finding the Third Proportional to 119,078 and 254,527

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Solution

The third proportional to 119,078 and 254,527 is: 544,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078 : 254,527 = 254,527 : x
  2. Step 2: Convert to fraction form
    119,078/254,527 = 254,527/x
  3. Step 3: Cross multiply
    119,078x = 254,527 × 254,527
  4. Step 4: Simplify right side
    119,078x = 64,783,993,729
  5. Step 5: Solve for x
    x = 64,783,993,729/119,078
  6. Step 6: Final answer
    x = 544,046.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.