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Finding the Third Proportional to 101,099 and 158,583

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Solution

The third proportional to 101,099 and 158,583 is: 248,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,099 : 158,583 = 158,583 : x
  2. Step 2: Convert to fraction form
    101,099/158,583 = 158,583/x
  3. Step 3: Cross multiply
    101,099x = 158,583 × 158,583
  4. Step 4: Simplify right side
    101,099x = 25,148,567,889
  5. Step 5: Solve for x
    x = 25,148,567,889/101,099
  6. Step 6: Final answer
    x = 248,751.90

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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.