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Finding the Third Proportional to 66,764 and 103,342

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Solution

The third proportional to 66,764 and 103,342 is: 159,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764 : 103,342 = 103,342 : x
  2. Step 2: Convert to fraction form
    66,764/103,342 = 103,342/x
  3. Step 3: Cross multiply
    66,764x = 103,342 × 103,342
  4. Step 4: Simplify right side
    66,764x = 10,679,568,964
  5. Step 5: Solve for x
    x = 10,679,568,964/66,764
  6. Step 6: Final answer
    x = 159,959.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.