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Finding the Third Proportional to 67,136 and 141,176

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Solution

The third proportional to 67,136 and 141,176 is: 296,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,136 : 141,176 = 141,176 : x
  2. Step 2: Convert to fraction form
    67,136/141,176 = 141,176/x
  3. Step 3: Cross multiply
    67,136x = 141,176 × 141,176
  4. Step 4: Simplify right side
    67,136x = 19,930,662,976
  5. Step 5: Solve for x
    x = 19,930,662,976/67,136
  6. Step 6: Final answer
    x = 296,869.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.