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Finding the Third Proportional to 102,510 and 155,838

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Solution

The third proportional to 102,510 and 155,838 is: 236,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,510 : 155,838 = 155,838 : x
  2. Step 2: Convert to fraction form
    102,510/155,838 = 155,838/x
  3. Step 3: Cross multiply
    102,510x = 155,838 × 155,838
  4. Step 4: Simplify right side
    102,510x = 24,285,482,244
  5. Step 5: Solve for x
    x = 24,285,482,244/102,510
  6. Step 6: Final answer
    x = 236,908.42

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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.