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Finding the Third Proportional to 44,736 and 97,764

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Solution

The third proportional to 44,736 and 97,764 is: 213,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,736 : 97,764 = 97,764 : x
  2. Step 2: Convert to fraction form
    44,736/97,764 = 97,764/x
  3. Step 3: Cross multiply
    44,736x = 97,764 × 97,764
  4. Step 4: Simplify right side
    44,736x = 9,557,799,696
  5. Step 5: Solve for x
    x = 9,557,799,696/44,736
  6. Step 6: Final answer
    x = 213,648.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.