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Finding the Third Proportional to 121,846 and 188,301

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Solution

The third proportional to 121,846 and 188,301 is: 291,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,846 : 188,301 = 188,301 : x
  2. Step 2: Convert to fraction form
    121,846/188,301 = 188,301/x
  3. Step 3: Cross multiply
    121,846x = 188,301 × 188,301
  4. Step 4: Simplify right side
    121,846x = 35,457,266,601
  5. Step 5: Solve for x
    x = 35,457,266,601/121,846
  6. Step 6: Final answer
    x = 291,000.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.