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Finding the Third Proportional to 44,457 and 104,946

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Solution

The third proportional to 44,457 and 104,946 is: 247,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,457 : 104,946 = 104,946 : x
  2. Step 2: Convert to fraction form
    44,457/104,946 = 104,946/x
  3. Step 3: Cross multiply
    44,457x = 104,946 × 104,946
  4. Step 4: Simplify right side
    44,457x = 11,013,662,916
  5. Step 5: Solve for x
    x = 11,013,662,916/44,457
  6. Step 6: Final answer
    x = 247,737.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.