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Finding the Third Proportional to 62,222 and 95,638

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Solution

The third proportional to 62,222 and 95,638 is: 146,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,222 : 95,638 = 95,638 : x
  2. Step 2: Convert to fraction form
    62,222/95,638 = 95,638/x
  3. Step 3: Cross multiply
    62,222x = 95,638 × 95,638
  4. Step 4: Simplify right side
    62,222x = 9,146,627,044
  5. Step 5: Solve for x
    x = 9,146,627,044/62,222
  6. Step 6: Final answer
    x = 146,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.