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Finding the Third Proportional to 75,122 and 153,026

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Solution

The third proportional to 75,122 and 153,026 is: 311,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,122 : 153,026 = 153,026 : x
  2. Step 2: Convert to fraction form
    75,122/153,026 = 153,026/x
  3. Step 3: Cross multiply
    75,122x = 153,026 × 153,026
  4. Step 4: Simplify right side
    75,122x = 23,416,956,676
  5. Step 5: Solve for x
    x = 23,416,956,676/75,122
  6. Step 6: Final answer
    x = 311,719.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.