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Finding the Third Proportional to 66,566 and 144,796

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Solution

The third proportional to 66,566 and 144,796 is: 314,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566 : 144,796 = 144,796 : x
  2. Step 2: Convert to fraction form
    66,566/144,796 = 144,796/x
  3. Step 3: Cross multiply
    66,566x = 144,796 × 144,796
  4. Step 4: Simplify right side
    66,566x = 20,965,881,616
  5. Step 5: Solve for x
    x = 20,965,881,616/66,566
  6. Step 6: Final answer
    x = 314,963.82

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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.