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Finding the Third Proportional to 59,224 and 122,624

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Solution

The third proportional to 59,224 and 122,624 is: 253,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,224 : 122,624 = 122,624 : x
  2. Step 2: Convert to fraction form
    59,224/122,624 = 122,624/x
  3. Step 3: Cross multiply
    59,224x = 122,624 × 122,624
  4. Step 4: Simplify right side
    59,224x = 15,036,645,376
  5. Step 5: Solve for x
    x = 15,036,645,376/59,224
  6. Step 6: Final answer
    x = 253,894.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.