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Finding the Third Proportional to 67,192 and 97,129

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Solution

The third proportional to 67,192 and 97,129 is: 140,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,192 : 97,129 = 97,129 : x
  2. Step 2: Convert to fraction form
    67,192/97,129 = 97,129/x
  3. Step 3: Cross multiply
    67,192x = 97,129 × 97,129
  4. Step 4: Simplify right side
    67,192x = 9,434,042,641
  5. Step 5: Solve for x
    x = 9,434,042,641/67,192
  6. Step 6: Final answer
    x = 140,404.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.