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Finding the Third Proportional to 70,748 and 107,034

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Solution

The third proportional to 70,748 and 107,034 is: 161,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748 : 107,034 = 107,034 : x
  2. Step 2: Convert to fraction form
    70,748/107,034 = 107,034/x
  3. Step 3: Cross multiply
    70,748x = 107,034 × 107,034
  4. Step 4: Simplify right side
    70,748x = 11,456,277,156
  5. Step 5: Solve for x
    x = 11,456,277,156/70,748
  6. Step 6: Final answer
    x = 161,930.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.