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Finding the Third Proportional to 102,944 and 154,416

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Solution

The third proportional to 102,944 and 154,416 is: 231,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,944 : 154,416 = 154,416 : x
  2. Step 2: Convert to fraction form
    102,944/154,416 = 154,416/x
  3. Step 3: Cross multiply
    102,944x = 154,416 × 154,416
  4. Step 4: Simplify right side
    102,944x = 23,844,301,056
  5. Step 5: Solve for x
    x = 23,844,301,056/102,944
  6. Step 6: Final answer
    x = 231,624

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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.