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Finding the Third Proportional to 70,232 and 154,779

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Solution

The third proportional to 70,232 and 154,779 is: 341,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,232 : 154,779 = 154,779 : x
  2. Step 2: Convert to fraction form
    70,232/154,779 = 154,779/x
  3. Step 3: Cross multiply
    70,232x = 154,779 × 154,779
  4. Step 4: Simplify right side
    70,232x = 23,956,538,841
  5. Step 5: Solve for x
    x = 23,956,538,841/70,232
  6. Step 6: Final answer
    x = 341,105.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.