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Finding the Third Proportional to 44,064 and 96,156

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Solution

The third proportional to 44,064 and 96,156 is: 209,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,064 : 96,156 = 96,156 : x
  2. Step 2: Convert to fraction form
    44,064/96,156 = 96,156/x
  3. Step 3: Cross multiply
    44,064x = 96,156 × 96,156
  4. Step 4: Simplify right side
    44,064x = 9,245,976,336
  5. Step 5: Solve for x
    x = 9,245,976,336/44,064
  6. Step 6: Final answer
    x = 209,830.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.