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Finding the Third Proportional to 94,749 and 126,409.50

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Solution

The third proportional to 94,749 and 126,409.50 is: 168,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,749 : 126,409.50 = 126,409.50 : x
  2. Step 2: Convert to fraction form
    94,749/126,409.50 = 126,409.50/x
  3. Step 3: Cross multiply
    94,749x = 126,409.50 × 126,409.50
  4. Step 4: Simplify right side
    94,749x = 15,979,361,690.25
  5. Step 5: Solve for x
    x = 15,979,361,690.25/94,749
  6. Step 6: Final answer
    x = 168,649.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.