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Finding the Third Proportional to 67,462 and 145,129

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Solution

The third proportional to 67,462 and 145,129 is: 312,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,462 : 145,129 = 145,129 : x
  2. Step 2: Convert to fraction form
    67,462/145,129 = 145,129/x
  3. Step 3: Cross multiply
    67,462x = 145,129 × 145,129
  4. Step 4: Simplify right side
    67,462x = 21,062,426,641
  5. Step 5: Solve for x
    x = 21,062,426,641/67,462
  6. Step 6: Final answer
    x = 312,211.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.