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Finding the Third Proportional to 95,913 and 150,455

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Solution

The third proportional to 95,913 and 150,455 is: 236,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,913 : 150,455 = 150,455 : x
  2. Step 2: Convert to fraction form
    95,913/150,455 = 150,455/x
  3. Step 3: Cross multiply
    95,913x = 150,455 × 150,455
  4. Step 4: Simplify right side
    95,913x = 22,636,707,025
  5. Step 5: Solve for x
    x = 22,636,707,025/95,913
  6. Step 6: Final answer
    x = 236,012.92

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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.