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Finding the Third Proportional to 45,037 and 97,054

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Solution

The third proportional to 45,037 and 97,054 is: 209,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,037 : 97,054 = 97,054 : x
  2. Step 2: Convert to fraction form
    45,037/97,054 = 97,054/x
  3. Step 3: Cross multiply
    45,037x = 97,054 × 97,054
  4. Step 4: Simplify right side
    45,037x = 9,419,478,916
  5. Step 5: Solve for x
    x = 9,419,478,916/45,037
  6. Step 6: Final answer
    x = 209,149.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.