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Finding the Third Proportional to 112,416 and 168,028

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Solution

The third proportional to 112,416 and 168,028 is: 251,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416 : 168,028 = 168,028 : x
  2. Step 2: Convert to fraction form
    112,416/168,028 = 168,028/x
  3. Step 3: Cross multiply
    112,416x = 168,028 × 168,028
  4. Step 4: Simplify right side
    112,416x = 28,233,408,784
  5. Step 5: Solve for x
    x = 28,233,408,784/112,416
  6. Step 6: Final answer
    x = 251,151.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.