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Finding the Third Proportional to 96,546 and 149,197.50

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Solution

The third proportional to 96,546 and 149,197.50 is: 230,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546 : 149,197.50 = 149,197.50 : x
  2. Step 2: Convert to fraction form
    96,546/149,197.50 = 149,197.50/x
  3. Step 3: Cross multiply
    96,546x = 149,197.50 × 149,197.50
  4. Step 4: Simplify right side
    96,546x = 22,259,894,006.25
  5. Step 5: Solve for x
    x = 22,259,894,006.25/96,546
  6. Step 6: Final answer
    x = 230,562.57

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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.