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Finding the Third Proportional to 96,745 and 149,489.50

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Solution

The third proportional to 96,745 and 149,489.50 is: 230,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,745 : 149,489.50 = 149,489.50 : x
  2. Step 2: Convert to fraction form
    96,745/149,489.50 = 149,489.50/x
  3. Step 3: Cross multiply
    96,745x = 149,489.50 × 149,489.50
  4. Step 4: Simplify right side
    96,745x = 22,347,110,610.25
  5. Step 5: Solve for x
    x = 22,347,110,610.25/96,745
  6. Step 6: Final answer
    x = 230,989.82

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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.