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Finding the Third Proportional to 66,182 and 142,732

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Solution

The third proportional to 66,182 and 142,732 is: 307,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,182 : 142,732 = 142,732 : x
  2. Step 2: Convert to fraction form
    66,182/142,732 = 142,732/x
  3. Step 3: Cross multiply
    66,182x = 142,732 × 142,732
  4. Step 4: Simplify right side
    66,182x = 20,372,423,824
  5. Step 5: Solve for x
    x = 20,372,423,824/66,182
  6. Step 6: Final answer
    x = 307,824.24

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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.