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Finding the Third Proportional to 98,751.75 and 148,999.50

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Solution

The third proportional to 98,751.75 and 148,999.50 is: 224,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,751.75 : 148,999.50 = 148,999.50 : x
  2. Step 2: Convert to fraction form
    98,751.75/148,999.50 = 148,999.50/x
  3. Step 3: Cross multiply
    98,751.75x = 148,999.50 × 148,999.50
  4. Step 4: Simplify right side
    98,751.75x = 22,200,851,000.25
  5. Step 5: Solve for x
    x = 22,200,851,000.25/98,751.75
  6. Step 6: Final answer
    x = 224,814.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.