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Finding the Third Proportional to 97,274.25 and 145,910.25

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Solution

The third proportional to 97,274.25 and 145,910.25 is: 218,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,274.25 : 145,910.25 = 145,910.25 : x
  2. Step 2: Convert to fraction form
    97,274.25/145,910.25 = 145,910.25/x
  3. Step 3: Cross multiply
    97,274.25x = 145,910.25 × 145,910.25
  4. Step 4: Simplify right side
    97,274.25x = 21,289,801,055.06
  5. Step 5: Solve for x
    x = 21,289,801,055.06/97,274.25
  6. Step 6: Final answer
    x = 218,863.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.