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Finding the Third Proportional to 102,414 and 149,118

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Solution

The third proportional to 102,414 and 149,118 is: 217,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414 : 149,118 = 149,118 : x
  2. Step 2: Convert to fraction form
    102,414/149,118 = 149,118/x
  3. Step 3: Cross multiply
    102,414x = 149,118 × 149,118
  4. Step 4: Simplify right side
    102,414x = 22,236,177,924
  5. Step 5: Solve for x
    x = 22,236,177,924/102,414
  6. Step 6: Final answer
    x = 217,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.