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Finding the Third Proportional to 66,616 and 143,114

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Solution

The third proportional to 66,616 and 143,114 is: 307,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,616 : 143,114 = 143,114 : x
  2. Step 2: Convert to fraction form
    66,616/143,114 = 143,114/x
  3. Step 3: Cross multiply
    66,616x = 143,114 × 143,114
  4. Step 4: Simplify right side
    66,616x = 20,481,616,996
  5. Step 5: Solve for x
    x = 20,481,616,996/66,616
  6. Step 6: Final answer
    x = 307,457.92

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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.