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Finding the Third Proportional to 95,804 and 145,031

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Solution

The third proportional to 95,804 and 145,031 is: 219,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,804 : 145,031 = 145,031 : x
  2. Step 2: Convert to fraction form
    95,804/145,031 = 145,031/x
  3. Step 3: Cross multiply
    95,804x = 145,031 × 145,031
  4. Step 4: Simplify right side
    95,804x = 21,033,990,961
  5. Step 5: Solve for x
    x = 21,033,990,961/95,804
  6. Step 6: Final answer
    x = 219,552.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.