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Finding the Third Proportional to 61,722 and 133,254

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Solution

The third proportional to 61,722 and 133,254 is: 287,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722 : 133,254 = 133,254 : x
  2. Step 2: Convert to fraction form
    61,722/133,254 = 133,254/x
  3. Step 3: Cross multiply
    61,722x = 133,254 × 133,254
  4. Step 4: Simplify right side
    61,722x = 17,756,628,516
  5. Step 5: Solve for x
    x = 17,756,628,516/61,722
  6. Step 6: Final answer
    x = 287,687.19

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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.