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Finding the Third Proportional to 97,206 and 124,212

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Solution

The third proportional to 97,206 and 124,212 is: 158,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,206 : 124,212 = 124,212 : x
  2. Step 2: Convert to fraction form
    97,206/124,212 = 124,212/x
  3. Step 3: Cross multiply
    97,206x = 124,212 × 124,212
  4. Step 4: Simplify right side
    97,206x = 15,428,620,944
  5. Step 5: Solve for x
    x = 15,428,620,944/97,206
  6. Step 6: Final answer
    x = 158,720.87

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.