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Finding the Third Proportional to 96,477 and 149,091

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Solution

The third proportional to 96,477 and 149,091 is: 230,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,477 : 149,091 = 149,091 : x
  2. Step 2: Convert to fraction form
    96,477/149,091 = 149,091/x
  3. Step 3: Cross multiply
    96,477x = 149,091 × 149,091
  4. Step 4: Simplify right side
    96,477x = 22,228,126,281
  5. Step 5: Solve for x
    x = 22,228,126,281/96,477
  6. Step 6: Final answer
    x = 230,398.19

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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.