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Finding the Third Proportional to 138,058 and 195,763

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Solution

The third proportional to 138,058 and 195,763 is: 277,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058 : 195,763 = 195,763 : x
  2. Step 2: Convert to fraction form
    138,058/195,763 = 195,763/x
  3. Step 3: Cross multiply
    138,058x = 195,763 × 195,763
  4. Step 4: Simplify right side
    138,058x = 38,323,152,169
  5. Step 5: Solve for x
    x = 38,323,152,169/138,058
  6. Step 6: Final answer
    x = 277,587.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.