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Finding the Third Proportional to 66,616 and 144,981

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Solution

The third proportional to 66,616 and 144,981 is: 315,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,616 : 144,981 = 144,981 : x
  2. Step 2: Convert to fraction form
    66,616/144,981 = 144,981/x
  3. Step 3: Cross multiply
    66,616x = 144,981 × 144,981
  4. Step 4: Simplify right side
    66,616x = 21,019,490,361
  5. Step 5: Solve for x
    x = 21,019,490,361/66,616
  6. Step 6: Final answer
    x = 315,532.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.