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Finding the Third Proportional to 34,745 and 70,719

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Solution

The third proportional to 34,745 and 70,719 is: 143,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745 : 70,719 = 70,719 : x
  2. Step 2: Convert to fraction form
    34,745/70,719 = 70,719/x
  3. Step 3: Cross multiply
    34,745x = 70,719 × 70,719
  4. Step 4: Simplify right side
    34,745x = 5,001,176,961
  5. Step 5: Solve for x
    x = 5,001,176,961/34,745
  6. Step 6: Final answer
    x = 143,939.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.