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Finding the Third Proportional to 72,258 and 154,479

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Solution

The third proportional to 72,258 and 154,479 is: 330,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,258 : 154,479 = 154,479 : x
  2. Step 2: Convert to fraction form
    72,258/154,479 = 154,479/x
  3. Step 3: Cross multiply
    72,258x = 154,479 × 154,479
  4. Step 4: Simplify right side
    72,258x = 23,863,761,441
  5. Step 5: Solve for x
    x = 23,863,761,441/72,258
  6. Step 6: Final answer
    x = 330,257.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.