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Finding the Third Proportional to 91,224 and 136,470

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Solution

The third proportional to 91,224 and 136,470 is: 204,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,224 : 136,470 = 136,470 : x
  2. Step 2: Convert to fraction form
    91,224/136,470 = 136,470/x
  3. Step 3: Cross multiply
    91,224x = 136,470 × 136,470
  4. Step 4: Simplify right side
    91,224x = 18,624,060,900
  5. Step 5: Solve for x
    x = 18,624,060,900/91,224
  6. Step 6: Final answer
    x = 204,157.47

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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.