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Finding the Third Proportional to 70,606 and 103,747

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Solution

The third proportional to 70,606 and 103,747 is: 152,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,606 : 103,747 = 103,747 : x
  2. Step 2: Convert to fraction form
    70,606/103,747 = 103,747/x
  3. Step 3: Cross multiply
    70,606x = 103,747 × 103,747
  4. Step 4: Simplify right side
    70,606x = 10,763,440,009
  5. Step 5: Solve for x
    x = 10,763,440,009/70,606
  6. Step 6: Final answer
    x = 152,443.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.