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Finding the Third Proportional to 70,698 and 103,671

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Solution

The third proportional to 70,698 and 103,671 is: 152,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698 : 103,671 = 103,671 : x
  2. Step 2: Convert to fraction form
    70,698/103,671 = 103,671/x
  3. Step 3: Cross multiply
    70,698x = 103,671 × 103,671
  4. Step 4: Simplify right side
    70,698x = 10,747,676,241
  5. Step 5: Solve for x
    x = 10,747,676,241/70,698
  6. Step 6: Final answer
    x = 152,022.35

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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.