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Finding the Third Proportional to 66,864 and 143,520

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Solution

The third proportional to 66,864 and 143,520 is: 308,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,864 : 143,520 = 143,520 : x
  2. Step 2: Convert to fraction form
    66,864/143,520 = 143,520/x
  3. Step 3: Cross multiply
    66,864x = 143,520 × 143,520
  4. Step 4: Simplify right side
    66,864x = 20,597,990,400
  5. Step 5: Solve for x
    x = 20,597,990,400/66,864
  6. Step 6: Final answer
    x = 308,058.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.