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Finding the Third Proportional to 101,054 and 168,414

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Solution

The third proportional to 101,054 and 168,414 is: 280,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,054 : 168,414 = 168,414 : x
  2. Step 2: Convert to fraction form
    101,054/168,414 = 168,414/x
  3. Step 3: Cross multiply
    101,054x = 168,414 × 168,414
  4. Step 4: Simplify right side
    101,054x = 28,363,275,396
  5. Step 5: Solve for x
    x = 28,363,275,396/101,054
  6. Step 6: Final answer
    x = 280,674.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.