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Finding the Third Proportional to 67,802 and 101,293

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Solution

The third proportional to 67,802 and 101,293 is: 151,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,802 : 101,293 = 101,293 : x
  2. Step 2: Convert to fraction form
    67,802/101,293 = 101,293/x
  3. Step 3: Cross multiply
    67,802x = 101,293 × 101,293
  4. Step 4: Simplify right side
    67,802x = 10,260,271,849
  5. Step 5: Solve for x
    x = 10,260,271,849/67,802
  6. Step 6: Final answer
    x = 151,326.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.