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Finding the Third Proportional to 61,463 and 133,722

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Solution

The third proportional to 61,463 and 133,722 is: 290,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,463 : 133,722 = 133,722 : x
  2. Step 2: Convert to fraction form
    61,463/133,722 = 133,722/x
  3. Step 3: Cross multiply
    61,463x = 133,722 × 133,722
  4. Step 4: Simplify right side
    61,463x = 17,881,573,284
  5. Step 5: Solve for x
    x = 17,881,573,284/61,463
  6. Step 6: Final answer
    x = 290,932.32

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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.