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Finding the Third Proportional to 72,981 and 158,733

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Solution

The third proportional to 72,981 and 158,733 is: 345,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,981 : 158,733 = 158,733 : x
  2. Step 2: Convert to fraction form
    72,981/158,733 = 158,733/x
  3. Step 3: Cross multiply
    72,981x = 158,733 × 158,733
  4. Step 4: Simplify right side
    72,981x = 25,196,165,289
  5. Step 5: Solve for x
    x = 25,196,165,289/72,981
  6. Step 6: Final answer
    x = 345,242.81

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