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Finding the Third Proportional to 61,024 and 125,813

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Solution

The third proportional to 61,024 and 125,813 is: 259,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,024 : 125,813 = 125,813 : x
  2. Step 2: Convert to fraction form
    61,024/125,813 = 125,813/x
  3. Step 3: Cross multiply
    61,024x = 125,813 × 125,813
  4. Step 4: Simplify right side
    61,024x = 15,828,910,969
  5. Step 5: Solve for x
    x = 15,828,910,969/61,024
  6. Step 6: Final answer
    x = 259,388.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.