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Finding the Third Proportional to 101,588 and 154,962

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Solution

The third proportional to 101,588 and 154,962 is: 236,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,588 : 154,962 = 154,962 : x
  2. Step 2: Convert to fraction form
    101,588/154,962 = 154,962/x
  3. Step 3: Cross multiply
    101,588x = 154,962 × 154,962
  4. Step 4: Simplify right side
    101,588x = 24,013,221,444
  5. Step 5: Solve for x
    x = 24,013,221,444/101,588
  6. Step 6: Final answer
    x = 236,378.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.