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Finding the Third Proportional to 35,276 and 74,188

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Solution

The third proportional to 35,276 and 74,188 is: 156,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,276 : 74,188 = 74,188 : x
  2. Step 2: Convert to fraction form
    35,276/74,188 = 74,188/x
  3. Step 3: Cross multiply
    35,276x = 74,188 × 74,188
  4. Step 4: Simplify right side
    35,276x = 5,503,859,344
  5. Step 5: Solve for x
    x = 5,503,859,344/35,276
  6. Step 6: Final answer
    x = 156,022.77

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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.