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Finding the Third Proportional to 70,841 and 147,460

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Solution

The third proportional to 70,841 and 147,460 is: 306,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,841 : 147,460 = 147,460 : x
  2. Step 2: Convert to fraction form
    70,841/147,460 = 147,460/x
  3. Step 3: Cross multiply
    70,841x = 147,460 × 147,460
  4. Step 4: Simplify right side
    70,841x = 21,744,451,600
  5. Step 5: Solve for x
    x = 21,744,451,600/70,841
  6. Step 6: Final answer
    x = 306,947.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.