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Finding the Third Proportional to 144,122 and 229,013

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Solution

The third proportional to 144,122 and 229,013 is: 363,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,122 : 229,013 = 229,013 : x
  2. Step 2: Convert to fraction form
    144,122/229,013 = 229,013/x
  3. Step 3: Cross multiply
    144,122x = 229,013 × 229,013
  4. Step 4: Simplify right side
    144,122x = 52,446,954,169
  5. Step 5: Solve for x
    x = 52,446,954,169/144,122
  6. Step 6: Final answer
    x = 363,906.65

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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.