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Finding the Third Proportional to 96,091 and 149,297

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Solution

The third proportional to 96,091 and 149,297 is: 231,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,091 : 149,297 = 149,297 : x
  2. Step 2: Convert to fraction form
    96,091/149,297 = 149,297/x
  3. Step 3: Cross multiply
    96,091x = 149,297 × 149,297
  4. Step 4: Simplify right side
    96,091x = 22,289,594,209
  5. Step 5: Solve for x
    x = 22,289,594,209/96,091
  6. Step 6: Final answer
    x = 231,963.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.