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Finding the Third Proportional to 61,804 and 133,463

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Solution

The third proportional to 61,804 and 133,463 is: 288,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,804 : 133,463 = 133,463 : x
  2. Step 2: Convert to fraction form
    61,804/133,463 = 133,463/x
  3. Step 3: Cross multiply
    61,804x = 133,463 × 133,463
  4. Step 4: Simplify right side
    61,804x = 17,812,372,369
  5. Step 5: Solve for x
    x = 17,812,372,369/61,804
  6. Step 6: Final answer
    x = 288,207.44

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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.