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Finding the Third Proportional to 34,796 and 75,208

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Solution

The third proportional to 34,796 and 75,208 is: 162,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,796 : 75,208 = 75,208 : x
  2. Step 2: Convert to fraction form
    34,796/75,208 = 75,208/x
  3. Step 3: Cross multiply
    34,796x = 75,208 × 75,208
  4. Step 4: Simplify right side
    34,796x = 5,656,243,264
  5. Step 5: Solve for x
    x = 5,656,243,264/34,796
  6. Step 6: Final answer
    x = 162,554.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.