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Finding the Third Proportional to 101,466 and 161,595

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Solution

The third proportional to 101,466 and 161,595 is: 257,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,466 : 161,595 = 161,595 : x
  2. Step 2: Convert to fraction form
    101,466/161,595 = 161,595/x
  3. Step 3: Cross multiply
    101,466x = 161,595 × 161,595
  4. Step 4: Simplify right side
    101,466x = 26,112,944,025
  5. Step 5: Solve for x
    x = 26,112,944,025/101,466
  6. Step 6: Final answer
    x = 257,356.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.