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Finding the Third Proportional to 66,585 and 142,647

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Solution

The third proportional to 66,585 and 142,647 is: 305,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,585 : 142,647 = 142,647 : x
  2. Step 2: Convert to fraction form
    66,585/142,647 = 142,647/x
  3. Step 3: Cross multiply
    66,585x = 142,647 × 142,647
  4. Step 4: Simplify right side
    66,585x = 20,348,166,609
  5. Step 5: Solve for x
    x = 20,348,166,609/66,585
  6. Step 6: Final answer
    x = 305,596.86

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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.