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Finding the Third Proportional to 112,127 and 168,515

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Solution

The third proportional to 112,127 and 168,515 is: 253,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,127 : 168,515 = 168,515 : x
  2. Step 2: Convert to fraction form
    112,127/168,515 = 168,515/x
  3. Step 3: Cross multiply
    112,127x = 168,515 × 168,515
  4. Step 4: Simplify right side
    112,127x = 28,397,305,225
  5. Step 5: Solve for x
    x = 28,397,305,225/112,127
  6. Step 6: Final answer
    x = 253,260.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.