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Finding the Third Proportional to 75,534 and 161,756

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Solution

The third proportional to 75,534 and 161,756 is: 346,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534 : 161,756 = 161,756 : x
  2. Step 2: Convert to fraction form
    75,534/161,756 = 161,756/x
  3. Step 3: Cross multiply
    75,534x = 161,756 × 161,756
  4. Step 4: Simplify right side
    75,534x = 26,165,003,536
  5. Step 5: Solve for x
    x = 26,165,003,536/75,534
  6. Step 6: Final answer
    x = 346,400.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.