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Finding the Third Proportional to 70,424 and 152,992

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Solution

The third proportional to 70,424 and 152,992 is: 332,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,424 : 152,992 = 152,992 : x
  2. Step 2: Convert to fraction form
    70,424/152,992 = 152,992/x
  3. Step 3: Cross multiply
    70,424x = 152,992 × 152,992
  4. Step 4: Simplify right side
    70,424x = 23,406,552,064
  5. Step 5: Solve for x
    x = 23,406,552,064/70,424
  6. Step 6: Final answer
    x = 332,366.13

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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.