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Finding the Third Proportional to 61,058 and 125,140

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Solution

The third proportional to 61,058 and 125,140 is: 256,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,058 : 125,140 = 125,140 : x
  2. Step 2: Convert to fraction form
    61,058/125,140 = 125,140/x
  3. Step 3: Cross multiply
    61,058x = 125,140 × 125,140
  4. Step 4: Simplify right side
    61,058x = 15,660,019,600
  5. Step 5: Solve for x
    x = 15,660,019,600/61,058
  6. Step 6: Final answer
    x = 256,477.77

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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.