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Finding the Third Proportional to 102,224 and 155,180

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Solution

The third proportional to 102,224 and 155,180 is: 235,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224 : 155,180 = 155,180 : x
  2. Step 2: Convert to fraction form
    102,224/155,180 = 155,180/x
  3. Step 3: Cross multiply
    102,224x = 155,180 × 155,180
  4. Step 4: Simplify right side
    102,224x = 24,080,832,400
  5. Step 5: Solve for x
    x = 24,080,832,400/102,224
  6. Step 6: Final answer
    x = 235,569.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.