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Finding the Third Proportional to 101,102 and 158,586

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Solution

The third proportional to 101,102 and 158,586 is: 248,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102 : 158,586 = 158,586 : x
  2. Step 2: Convert to fraction form
    101,102/158,586 = 158,586/x
  3. Step 3: Cross multiply
    101,102x = 158,586 × 158,586
  4. Step 4: Simplify right side
    101,102x = 25,149,519,396
  5. Step 5: Solve for x
    x = 25,149,519,396/101,102
  6. Step 6: Final answer
    x = 248,753.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.