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Finding the Third Proportional to 61,836 and 133,270

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Solution

The third proportional to 61,836 and 133,270 is: 287,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,836 : 133,270 = 133,270 : x
  2. Step 2: Convert to fraction form
    61,836/133,270 = 133,270/x
  3. Step 3: Cross multiply
    61,836x = 133,270 × 133,270
  4. Step 4: Simplify right side
    61,836x = 17,760,892,900
  5. Step 5: Solve for x
    x = 17,760,892,900/61,836
  6. Step 6: Final answer
    x = 287,225.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.