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Finding the Third Proportional to 144,121 and 229,012

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Solution

The third proportional to 144,121 and 229,012 is: 363,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,121 : 229,012 = 229,012 : x
  2. Step 2: Convert to fraction form
    144,121/229,012 = 229,012/x
  3. Step 3: Cross multiply
    144,121x = 229,012 × 229,012
  4. Step 4: Simplify right side
    144,121x = 52,446,496,144
  5. Step 5: Solve for x
    x = 52,446,496,144/144,121
  6. Step 6: Final answer
    x = 363,906.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.