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Finding the Third Proportional to 55,774 and 119,972

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Solution

The third proportional to 55,774 and 119,972 is: 258,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774 : 119,972 = 119,972 : x
  2. Step 2: Convert to fraction form
    55,774/119,972 = 119,972/x
  3. Step 3: Cross multiply
    55,774x = 119,972 × 119,972
  4. Step 4: Simplify right side
    55,774x = 14,393,280,784
  5. Step 5: Solve for x
    x = 14,393,280,784/55,774
  6. Step 6: Final answer
    x = 258,064.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.