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Finding the Third Proportional to 49,310 and 75,194

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Solution

The third proportional to 49,310 and 75,194 is: 114,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310 : 75,194 = 75,194 : x
  2. Step 2: Convert to fraction form
    49,310/75,194 = 75,194/x
  3. Step 3: Cross multiply
    49,310x = 75,194 × 75,194
  4. Step 4: Simplify right side
    49,310x = 5,654,137,636
  5. Step 5: Solve for x
    x = 5,654,137,636/49,310
  6. Step 6: Final answer
    x = 114,665.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.