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Finding the Third Proportional to 105,470 and 162,861

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Solution

The third proportional to 105,470 and 162,861 is: 251,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,470 : 162,861 = 162,861 : x
  2. Step 2: Convert to fraction form
    105,470/162,861 = 162,861/x
  3. Step 3: Cross multiply
    105,470x = 162,861 × 162,861
  4. Step 4: Simplify right side
    105,470x = 26,523,705,321
  5. Step 5: Solve for x
    x = 26,523,705,321/105,470
  6. Step 6: Final answer
    x = 251,481.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.