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Finding the Third Proportional to 103,478 and 158,224

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Solution

The third proportional to 103,478 and 158,224 is: 241,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,478 : 158,224 = 158,224 : x
  2. Step 2: Convert to fraction form
    103,478/158,224 = 158,224/x
  3. Step 3: Cross multiply
    103,478x = 158,224 × 158,224
  4. Step 4: Simplify right side
    103,478x = 25,034,834,176
  5. Step 5: Solve for x
    x = 25,034,834,176/103,478
  6. Step 6: Final answer
    x = 241,933.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.