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Finding the Third Proportional to 102,118 and 155,337

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Solution

The third proportional to 102,118 and 155,337 is: 236,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,118 : 155,337 = 155,337 : x
  2. Step 2: Convert to fraction form
    102,118/155,337 = 155,337/x
  3. Step 3: Cross multiply
    102,118x = 155,337 × 155,337
  4. Step 4: Simplify right side
    102,118x = 24,129,583,569
  5. Step 5: Solve for x
    x = 24,129,583,569/102,118
  6. Step 6: Final answer
    x = 236,291.19

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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.