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Finding the Third Proportional to 102,347 and 155,110

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Solution

The third proportional to 102,347 and 155,110 is: 235,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347 : 155,110 = 155,110 : x
  2. Step 2: Convert to fraction form
    102,347/155,110 = 155,110/x
  3. Step 3: Cross multiply
    102,347x = 155,110 × 155,110
  4. Step 4: Simplify right side
    102,347x = 24,059,112,100
  5. Step 5: Solve for x
    x = 24,059,112,100/102,347
  6. Step 6: Final answer
    x = 235,073.94

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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.