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Finding the Third Proportional to 70,680 and 151,167

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Solution

The third proportional to 70,680 and 151,167 is: 323,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,680 : 151,167 = 151,167 : x
  2. Step 2: Convert to fraction form
    70,680/151,167 = 151,167/x
  3. Step 3: Cross multiply
    70,680x = 151,167 × 151,167
  4. Step 4: Simplify right side
    70,680x = 22,851,461,889
  5. Step 5: Solve for x
    x = 22,851,461,889/70,680
  6. Step 6: Final answer
    x = 323,308.74

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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.