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Finding the Third Proportional to 70,947 and 152,967

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Solution

The third proportional to 70,947 and 152,967 is: 329,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947 : 152,967 = 152,967 : x
  2. Step 2: Convert to fraction form
    70,947/152,967 = 152,967/x
  3. Step 3: Cross multiply
    70,947x = 152,967 × 152,967
  4. Step 4: Simplify right side
    70,947x = 23,398,903,089
  5. Step 5: Solve for x
    x = 23,398,903,089/70,947
  6. Step 6: Final answer
    x = 329,808.21

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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.