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Finding the Third Proportional to 128,922 and 193,446

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Solution

The third proportional to 128,922 and 193,446 is: 290,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,922 : 193,446 = 193,446 : x
  2. Step 2: Convert to fraction form
    128,922/193,446 = 193,446/x
  3. Step 3: Cross multiply
    128,922x = 193,446 × 193,446
  4. Step 4: Simplify right side
    128,922x = 37,421,354,916
  5. Step 5: Solve for x
    x = 37,421,354,916/128,922
  6. Step 6: Final answer
    x = 290,263.53

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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.