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Finding the Third Proportional to 66,406 and 141,596

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Solution

The third proportional to 66,406 and 141,596 is: 301,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,406 : 141,596 = 141,596 : x
  2. Step 2: Convert to fraction form
    66,406/141,596 = 141,596/x
  3. Step 3: Cross multiply
    66,406x = 141,596 × 141,596
  4. Step 4: Simplify right side
    66,406x = 20,049,427,216
  5. Step 5: Solve for x
    x = 20,049,427,216/66,406
  6. Step 6: Final answer
    x = 301,921.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.