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Finding the Third Proportional to 56,776 and 119,431

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Solution

The third proportional to 56,776 and 119,431 is: 251,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,776 : 119,431 = 119,431 : x
  2. Step 2: Convert to fraction form
    56,776/119,431 = 119,431/x
  3. Step 3: Cross multiply
    56,776x = 119,431 × 119,431
  4. Step 4: Simplify right side
    56,776x = 14,263,763,761
  5. Step 5: Solve for x
    x = 14,263,763,761/56,776
  6. Step 6: Final answer
    x = 251,228.75

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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.