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Finding the Third Proportional to 96,089.25 and 149,294

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Solution

The third proportional to 96,089.25 and 149,294 is: 231,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,089.25 : 149,294 = 149,294 : x
  2. Step 2: Convert to fraction form
    96,089.25/149,294 = 149,294/x
  3. Step 3: Cross multiply
    96,089.25x = 149,294 × 149,294
  4. Step 4: Simplify right side
    96,089.25x = 22,288,698,436
  5. Step 5: Solve for x
    x = 22,288,698,436/96,089.25
  6. Step 6: Final answer
    x = 231,958.29

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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.