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Finding the Third Proportional to 56,524 and 119,348

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Solution

The third proportional to 56,524 and 119,348 is: 251,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,524 : 119,348 = 119,348 : x
  2. Step 2: Convert to fraction form
    56,524/119,348 = 119,348/x
  3. Step 3: Cross multiply
    56,524x = 119,348 × 119,348
  4. Step 4: Simplify right side
    56,524x = 14,243,945,104
  5. Step 5: Solve for x
    x = 14,243,945,104/56,524
  6. Step 6: Final answer
    x = 251,998.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.