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Finding the Third Proportional to 96,128 and 147,834

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Solution

The third proportional to 96,128 and 147,834 is: 227,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,128 : 147,834 = 147,834 : x
  2. Step 2: Convert to fraction form
    96,128/147,834 = 147,834/x
  3. Step 3: Cross multiply
    96,128x = 147,834 × 147,834
  4. Step 4: Simplify right side
    96,128x = 21,854,891,556
  5. Step 5: Solve for x
    x = 21,854,891,556/96,128
  6. Step 6: Final answer
    x = 227,351.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.