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Finding the Third Proportional to 101,215 and 151,264

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Solution

The third proportional to 101,215 and 151,264 is: 226,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,215 : 151,264 = 151,264 : x
  2. Step 2: Convert to fraction form
    101,215/151,264 = 151,264/x
  3. Step 3: Cross multiply
    101,215x = 151,264 × 151,264
  4. Step 4: Simplify right side
    101,215x = 22,880,797,696
  5. Step 5: Solve for x
    x = 22,880,797,696/101,215
  6. Step 6: Final answer
    x = 226,061.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.