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Finding the Third Proportional to 128,385 and 187,822

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Solution

The third proportional to 128,385 and 187,822 is: 274,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,385 : 187,822 = 187,822 : x
  2. Step 2: Convert to fraction form
    128,385/187,822 = 187,822/x
  3. Step 3: Cross multiply
    128,385x = 187,822 × 187,822
  4. Step 4: Simplify right side
    128,385x = 35,277,103,684
  5. Step 5: Solve for x
    x = 35,277,103,684/128,385
  6. Step 6: Final answer
    x = 274,775.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.