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Finding the Third Proportional to 71,389.69 and 169,126.31

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Solution

The third proportional to 71,389.69 and 169,126.31 is: 400,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,389.69 : 169,126.31 = 169,126.31 : x
  2. Step 2: Convert to fraction form
    71,389.69/169,126.31 = 169,126.31/x
  3. Step 3: Cross multiply
    71,389.69x = 169,126.31 × 169,126.31
  4. Step 4: Simplify right side
    71,389.69x = 28,603,709,579.85
  5. Step 5: Solve for x
    x = 28,603,709,579.85/71,389.69
  6. Step 6: Final answer
    x = 400,670.05

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.