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Finding the Third Proportional to 128,770 and 189,301

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Solution

The third proportional to 128,770 and 189,301 is: 278,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,770 : 189,301 = 189,301 : x
  2. Step 2: Convert to fraction form
    128,770/189,301 = 189,301/x
  3. Step 3: Cross multiply
    128,770x = 189,301 × 189,301
  4. Step 4: Simplify right side
    128,770x = 35,834,868,601
  5. Step 5: Solve for x
    x = 35,834,868,601/128,770
  6. Step 6: Final answer
    x = 278,285.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.