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Finding the Third Proportional to 67,276 and 143,188

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Solution

The third proportional to 67,276 and 143,188 is: 304,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,276 : 143,188 = 143,188 : x
  2. Step 2: Convert to fraction form
    67,276/143,188 = 143,188/x
  3. Step 3: Cross multiply
    67,276x = 143,188 × 143,188
  4. Step 4: Simplify right side
    67,276x = 20,502,803,344
  5. Step 5: Solve for x
    x = 20,502,803,344/67,276
  6. Step 6: Final answer
    x = 304,756.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.