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Finding the Third Proportional to 56,780 and 119,446

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Solution

The third proportional to 56,780 and 119,446 is: 251,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,780 : 119,446 = 119,446 : x
  2. Step 2: Convert to fraction form
    56,780/119,446 = 119,446/x
  3. Step 3: Cross multiply
    56,780x = 119,446 × 119,446
  4. Step 4: Simplify right side
    56,780x = 14,267,346,916
  5. Step 5: Solve for x
    x = 14,267,346,916/56,780
  6. Step 6: Final answer
    x = 251,274.16

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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.