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Finding the Third Proportional to 105,482 and 158,244

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Solution

The third proportional to 105,482 and 158,244 is: 237,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482 : 158,244 = 158,244 : x
  2. Step 2: Convert to fraction form
    105,482/158,244 = 158,244/x
  3. Step 3: Cross multiply
    105,482x = 158,244 × 158,244
  4. Step 4: Simplify right side
    105,482x = 25,041,163,536
  5. Step 5: Solve for x
    x = 25,041,163,536/105,482
  6. Step 6: Final answer
    x = 237,397.50

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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.