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Finding the Third Proportional to 56,812 and 119,497

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Solution

The third proportional to 56,812 and 119,497 is: 251,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,812 : 119,497 = 119,497 : x
  2. Step 2: Convert to fraction form
    56,812/119,497 = 119,497/x
  3. Step 3: Cross multiply
    56,812x = 119,497 × 119,497
  4. Step 4: Simplify right side
    56,812x = 14,279,533,009
  5. Step 5: Solve for x
    x = 14,279,533,009/56,812
  6. Step 6: Final answer
    x = 251,347.13

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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.