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Finding the Third Proportional to 103,489 and 151,825

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Solution

The third proportional to 103,489 and 151,825 is: 222,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489 : 151,825 = 151,825 : x
  2. Step 2: Convert to fraction form
    103,489/151,825 = 151,825/x
  3. Step 3: Cross multiply
    103,489x = 151,825 × 151,825
  4. Step 4: Simplify right side
    103,489x = 23,050,830,625
  5. Step 5: Solve for x
    x = 23,050,830,625/103,489
  6. Step 6: Final answer
    x = 222,737.01

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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.