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Finding the Third Proportional to 61,206 and 133,644

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Solution

The third proportional to 61,206 and 133,644 is: 291,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,206 : 133,644 = 133,644 : x
  2. Step 2: Convert to fraction form
    61,206/133,644 = 133,644/x
  3. Step 3: Cross multiply
    61,206x = 133,644 × 133,644
  4. Step 4: Simplify right side
    61,206x = 17,860,718,736
  5. Step 5: Solve for x
    x = 17,860,718,736/61,206
  6. Step 6: Final answer
    x = 291,813.20

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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.