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Finding the Third Proportional to 70,954 and 152,981

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Solution

The third proportional to 70,954 and 152,981 is: 329,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,954 : 152,981 = 152,981 : x
  2. Step 2: Convert to fraction form
    70,954/152,981 = 152,981/x
  3. Step 3: Cross multiply
    70,954x = 152,981 × 152,981
  4. Step 4: Simplify right side
    70,954x = 23,403,186,361
  5. Step 5: Solve for x
    x = 23,403,186,361/70,954
  6. Step 6: Final answer
    x = 329,836.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.