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Finding the Third Proportional to 66,032 and 137,536

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Solution

The third proportional to 66,032 and 137,536 is: 286,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,032 : 137,536 = 137,536 : x
  2. Step 2: Convert to fraction form
    66,032/137,536 = 137,536/x
  3. Step 3: Cross multiply
    66,032x = 137,536 × 137,536
  4. Step 4: Simplify right side
    66,032x = 18,916,151,296
  5. Step 5: Solve for x
    x = 18,916,151,296/66,032
  6. Step 6: Final answer
    x = 286,469.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.