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Finding the Third Proportional to 70,470 and 107,937.56

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Solution

The third proportional to 70,470 and 107,937.56 is: 165,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 107,937.56 = 107,937.56 : x
  2. Step 2: Convert to fraction form
    70,470/107,937.56 = 107,937.56/x
  3. Step 3: Cross multiply
    70,470x = 107,937.56 × 107,937.56
  4. Step 4: Simplify right side
    70,470x = 11,650,517,398.44
  5. Step 5: Solve for x
    x = 11,650,517,398.44/70,470
  6. Step 6: Final answer
    x = 165,325.92

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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.