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Finding the Third Proportional to 56,029 and 119,546

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Solution

The third proportional to 56,029 and 119,546 is: 255,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,029 : 119,546 = 119,546 : x
  2. Step 2: Convert to fraction form
    56,029/119,546 = 119,546/x
  3. Step 3: Cross multiply
    56,029x = 119,546 × 119,546
  4. Step 4: Simplify right side
    56,029x = 14,291,246,116
  5. Step 5: Solve for x
    x = 14,291,246,116/56,029
  6. Step 6: Final answer
    x = 255,068.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.