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Finding the Third Proportional to 67,062 and 145,014

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Solution

The third proportional to 67,062 and 145,014 is: 313,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,062 : 145,014 = 145,014 : x
  2. Step 2: Convert to fraction form
    67,062/145,014 = 145,014/x
  3. Step 3: Cross multiply
    67,062x = 145,014 × 145,014
  4. Step 4: Simplify right side
    67,062x = 21,029,060,196
  5. Step 5: Solve for x
    x = 21,029,060,196/67,062
  6. Step 6: Final answer
    x = 313,576.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.