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Finding the Third Proportional to 124,910 and 194,656

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Solution

The third proportional to 124,910 and 194,656 is: 303,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,910 : 194,656 = 194,656 : x
  2. Step 2: Convert to fraction form
    124,910/194,656 = 194,656/x
  3. Step 3: Cross multiply
    124,910x = 194,656 × 194,656
  4. Step 4: Simplify right side
    124,910x = 37,890,958,336
  5. Step 5: Solve for x
    x = 37,890,958,336/124,910
  6. Step 6: Final answer
    x = 303,346.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.