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Finding the Third Proportional to 70,024 and 105,388

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Solution

The third proportional to 70,024 and 105,388 is: 158,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,024 : 105,388 = 105,388 : x
  2. Step 2: Convert to fraction form
    70,024/105,388 = 105,388/x
  3. Step 3: Cross multiply
    70,024x = 105,388 × 105,388
  4. Step 4: Simplify right side
    70,024x = 11,106,630,544
  5. Step 5: Solve for x
    x = 11,106,630,544/70,024
  6. Step 6: Final answer
    x = 158,611.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.