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Finding the Third Proportional to 95,773 and 151,577

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Solution

The third proportional to 95,773 and 151,577 is: 239,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,773 : 151,577 = 151,577 : x
  2. Step 2: Convert to fraction form
    95,773/151,577 = 151,577/x
  3. Step 3: Cross multiply
    95,773x = 151,577 × 151,577
  4. Step 4: Simplify right side
    95,773x = 22,975,586,929
  5. Step 5: Solve for x
    x = 22,975,586,929/95,773
  6. Step 6: Final answer
    x = 239,896.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.