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Finding the Third Proportional to 103,414 and 151,015

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Solution

The third proportional to 103,414 and 151,015 is: 220,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414 : 151,015 = 151,015 : x
  2. Step 2: Convert to fraction form
    103,414/151,015 = 151,015/x
  3. Step 3: Cross multiply
    103,414x = 151,015 × 151,015
  4. Step 4: Simplify right side
    103,414x = 22,805,530,225
  5. Step 5: Solve for x
    x = 22,805,530,225/103,414
  6. Step 6: Final answer
    x = 220,526.53

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