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Finding the Third Proportional to 95,339 and 145,574

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Solution

The third proportional to 95,339 and 145,574 is: 222,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,339 : 145,574 = 145,574 : x
  2. Step 2: Convert to fraction form
    95,339/145,574 = 145,574/x
  3. Step 3: Cross multiply
    95,339x = 145,574 × 145,574
  4. Step 4: Simplify right side
    95,339x = 21,191,789,476
  5. Step 5: Solve for x
    x = 21,191,789,476/95,339
  6. Step 6: Final answer
    x = 222,278.29

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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.