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Finding the Third Proportional to 103,670 and 155,471

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Solution

The third proportional to 103,670 and 155,471 is: 233,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 155,471 = 155,471 : x
  2. Step 2: Convert to fraction form
    103,670/155,471 = 155,471/x
  3. Step 3: Cross multiply
    103,670x = 155,471 × 155,471
  4. Step 4: Simplify right side
    103,670x = 24,171,231,841
  5. Step 5: Solve for x
    x = 24,171,231,841/103,670
  6. Step 6: Final answer
    x = 233,155.51

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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.