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Finding the Third Proportional to 61,010 and 124,992

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Solution

The third proportional to 61,010 and 124,992 is: 256,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,010 : 124,992 = 124,992 : x
  2. Step 2: Convert to fraction form
    61,010/124,992 = 124,992/x
  3. Step 3: Cross multiply
    61,010x = 124,992 × 124,992
  4. Step 4: Simplify right side
    61,010x = 15,623,000,064
  5. Step 5: Solve for x
    x = 15,623,000,064/61,010
  6. Step 6: Final answer
    x = 256,072.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.