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Finding the Third Proportional to 61,202 and 133,636

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Solution

The third proportional to 61,202 and 133,636 is: 291,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,202 : 133,636 = 133,636 : x
  2. Step 2: Convert to fraction form
    61,202/133,636 = 133,636/x
  3. Step 3: Cross multiply
    61,202x = 133,636 × 133,636
  4. Step 4: Simplify right side
    61,202x = 17,858,580,496
  5. Step 5: Solve for x
    x = 17,858,580,496/61,202
  6. Step 6: Final answer
    x = 291,797.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.