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Finding the Third Proportional to 97,104 and 145,251

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Solution

The third proportional to 97,104 and 145,251 is: 217,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104 : 145,251 = 145,251 : x
  2. Step 2: Convert to fraction form
    97,104/145,251 = 145,251/x
  3. Step 3: Cross multiply
    97,104x = 145,251 × 145,251
  4. Step 4: Simplify right side
    97,104x = 21,097,853,001
  5. Step 5: Solve for x
    x = 21,097,853,001/97,104
  6. Step 6: Final answer
    x = 217,270.69

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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.