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Finding the Third Proportional to 102,188 and 153,422

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Solution

The third proportional to 102,188 and 153,422 is: 230,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,188 : 153,422 = 153,422 : x
  2. Step 2: Convert to fraction form
    102,188/153,422 = 153,422/x
  3. Step 3: Cross multiply
    102,188x = 153,422 × 153,422
  4. Step 4: Simplify right side
    102,188x = 23,538,310,084
  5. Step 5: Solve for x
    x = 23,538,310,084/102,188
  6. Step 6: Final answer
    x = 230,343.19

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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.