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Finding the Third Proportional to 96,656 and 150,320

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Solution

The third proportional to 96,656 and 150,320 is: 233,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,656 : 150,320 = 150,320 : x
  2. Step 2: Convert to fraction form
    96,656/150,320 = 150,320/x
  3. Step 3: Cross multiply
    96,656x = 150,320 × 150,320
  4. Step 4: Simplify right side
    96,656x = 22,596,102,400
  5. Step 5: Solve for x
    x = 22,596,102,400/96,656
  6. Step 6: Final answer
    x = 233,778.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.