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Finding the Third Proportional to 66,656 and 144,004

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Solution

The third proportional to 66,656 and 144,004 is: 311,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,656 : 144,004 = 144,004 : x
  2. Step 2: Convert to fraction form
    66,656/144,004 = 144,004/x
  3. Step 3: Cross multiply
    66,656x = 144,004 × 144,004
  4. Step 4: Simplify right side
    66,656x = 20,737,152,016
  5. Step 5: Solve for x
    x = 20,737,152,016/66,656
  6. Step 6: Final answer
    x = 311,107.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.