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Finding the Third Proportional to 67,176 and 141,304

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Solution

The third proportional to 67,176 and 141,304 is: 297,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,176 : 141,304 = 141,304 : x
  2. Step 2: Convert to fraction form
    67,176/141,304 = 141,304/x
  3. Step 3: Cross multiply
    67,176x = 141,304 × 141,304
  4. Step 4: Simplify right side
    67,176x = 19,966,820,416
  5. Step 5: Solve for x
    x = 19,966,820,416/67,176
  6. Step 6: Final answer
    x = 297,231.46

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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.