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Finding the Third Proportional to 102,820 and 155,958

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Solution

The third proportional to 102,820 and 155,958 is: 236,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,820 : 155,958 = 155,958 : x
  2. Step 2: Convert to fraction form
    102,820/155,958 = 155,958/x
  3. Step 3: Cross multiply
    102,820x = 155,958 × 155,958
  4. Step 4: Simplify right side
    102,820x = 24,322,897,764
  5. Step 5: Solve for x
    x = 24,322,897,764/102,820
  6. Step 6: Final answer
    x = 236,558.04

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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.