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Finding the Third Proportional to 56,782 and 119,444

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Solution

The third proportional to 56,782 and 119,444 is: 251,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782 : 119,444 = 119,444 : x
  2. Step 2: Convert to fraction form
    56,782/119,444 = 119,444/x
  3. Step 3: Cross multiply
    56,782x = 119,444 × 119,444
  4. Step 4: Simplify right side
    56,782x = 14,266,869,136
  5. Step 5: Solve for x
    x = 14,266,869,136/56,782
  6. Step 6: Final answer
    x = 251,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.