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Finding the Third Proportional to 66,607 and 142,661

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Solution

The third proportional to 66,607 and 142,661 is: 305,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,607 : 142,661 = 142,661 : x
  2. Step 2: Convert to fraction form
    66,607/142,661 = 142,661/x
  3. Step 3: Cross multiply
    66,607x = 142,661 × 142,661
  4. Step 4: Simplify right side
    66,607x = 20,352,160,921
  5. Step 5: Solve for x
    x = 20,352,160,921/66,607
  6. Step 6: Final answer
    x = 305,555.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.