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Finding the Third Proportional to 44,942 and 97,252

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Solution

The third proportional to 44,942 and 97,252 is: 210,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,942 : 97,252 = 97,252 : x
  2. Step 2: Convert to fraction form
    44,942/97,252 = 97,252/x
  3. Step 3: Cross multiply
    44,942x = 97,252 × 97,252
  4. Step 4: Simplify right side
    44,942x = 9,457,951,504
  5. Step 5: Solve for x
    x = 9,457,951,504/44,942
  6. Step 6: Final answer
    x = 210,447.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.