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Finding the Third Proportional to 103,670 and 155,900

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Solution

The third proportional to 103,670 and 155,900 is: 234,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 155,900 = 155,900 : x
  2. Step 2: Convert to fraction form
    103,670/155,900 = 155,900/x
  3. Step 3: Cross multiply
    103,670x = 155,900 × 155,900
  4. Step 4: Simplify right side
    103,670x = 24,304,810,000
  5. Step 5: Solve for x
    x = 24,304,810,000/103,670
  6. Step 6: Final answer
    x = 234,444.01

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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.