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Finding the Third Proportional to 94,721 and 126,367.50

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Solution

The third proportional to 94,721 and 126,367.50 is: 168,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,721 : 126,367.50 = 126,367.50 : x
  2. Step 2: Convert to fraction form
    94,721/126,367.50 = 126,367.50/x
  3. Step 3: Cross multiply
    94,721x = 126,367.50 × 126,367.50
  4. Step 4: Simplify right side
    94,721x = 15,968,745,056.25
  5. Step 5: Solve for x
    x = 15,968,745,056.25/94,721
  6. Step 6: Final answer
    x = 168,587.17

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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.