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Finding the Third Proportional to 101,610 and 158,230

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Solution

The third proportional to 101,610 and 158,230 is: 246,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,610 : 158,230 = 158,230 : x
  2. Step 2: Convert to fraction form
    101,610/158,230 = 158,230/x
  3. Step 3: Cross multiply
    101,610x = 158,230 × 158,230
  4. Step 4: Simplify right side
    101,610x = 25,036,732,900
  5. Step 5: Solve for x
    x = 25,036,732,900/101,610
  6. Step 6: Final answer
    x = 246,400.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.