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Finding the Third Proportional to 66,593 and 144,121

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Solution

The third proportional to 66,593 and 144,121 is: 311,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,593 : 144,121 = 144,121 : x
  2. Step 2: Convert to fraction form
    66,593/144,121 = 144,121/x
  3. Step 3: Cross multiply
    66,593x = 144,121 × 144,121
  4. Step 4: Simplify right side
    66,593x = 20,770,862,641
  5. Step 5: Solve for x
    x = 20,770,862,641/66,593
  6. Step 6: Final answer
    x = 311,907.60

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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.