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Finding the Third Proportional to 70,372.50 and 103,698

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Solution

The third proportional to 70,372.50 and 103,698 is: 152,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,372.50 : 103,698 = 103,698 : x
  2. Step 2: Convert to fraction form
    70,372.50/103,698 = 103,698/x
  3. Step 3: Cross multiply
    70,372.50x = 103,698 × 103,698
  4. Step 4: Simplify right side
    70,372.50x = 10,753,275,204
  5. Step 5: Solve for x
    x = 10,753,275,204/70,372.50
  6. Step 6: Final answer
    x = 152,805.08

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