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Finding the Third Proportional to 34,310 and 75,188

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Solution

The third proportional to 34,310 and 75,188 is: 164,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,310 : 75,188 = 75,188 : x
  2. Step 2: Convert to fraction form
    34,310/75,188 = 75,188/x
  3. Step 3: Cross multiply
    34,310x = 75,188 × 75,188
  4. Step 4: Simplify right side
    34,310x = 5,653,235,344
  5. Step 5: Solve for x
    x = 5,653,235,344/34,310
  6. Step 6: Final answer
    x = 164,769.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.