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Finding the Third Proportional to 72,711 and 158,058

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Solution

The third proportional to 72,711 and 158,058 is: 343,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,711 : 158,058 = 158,058 : x
  2. Step 2: Convert to fraction form
    72,711/158,058 = 158,058/x
  3. Step 3: Cross multiply
    72,711x = 158,058 × 158,058
  4. Step 4: Simplify right side
    72,711x = 24,982,331,364
  5. Step 5: Solve for x
    x = 24,982,331,364/72,711
  6. Step 6: Final answer
    x = 343,583.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.