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Finding the Third Proportional to 94,999.50 and 148,249.50

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Solution

The third proportional to 94,999.50 and 148,249.50 is: 231,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,999.50 : 148,249.50 = 148,249.50 : x
  2. Step 2: Convert to fraction form
    94,999.50/148,249.50 = 148,249.50/x
  3. Step 3: Cross multiply
    94,999.50x = 148,249.50 × 148,249.50
  4. Step 4: Simplify right side
    94,999.50x = 21,977,914,250.25
  5. Step 5: Solve for x
    x = 21,977,914,250.25/94,999.50
  6. Step 6: Final answer
    x = 231,347.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.