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Finding the Third Proportional to 102,837 and 155,348

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Solution

The third proportional to 102,837 and 155,348 is: 234,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,837 : 155,348 = 155,348 : x
  2. Step 2: Convert to fraction form
    102,837/155,348 = 155,348/x
  3. Step 3: Cross multiply
    102,837x = 155,348 × 155,348
  4. Step 4: Simplify right side
    102,837x = 24,133,001,104
  5. Step 5: Solve for x
    x = 24,133,001,104/102,837
  6. Step 6: Final answer
    x = 234,672.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.