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Finding the Third Proportional to 70,214.63 and 161,137.13

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Solution

The third proportional to 70,214.63 and 161,137.13 is: 369,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,214.63 : 161,137.13 = 161,137.13 : x
  2. Step 2: Convert to fraction form
    70,214.63/161,137.13 = 161,137.13/x
  3. Step 3: Cross multiply
    70,214.63x = 161,137.13 × 161,137.13
  4. Step 4: Simplify right side
    70,214.63x = 25,965,173,053.27
  5. Step 5: Solve for x
    x = 25,965,173,053.27/70,214.63
  6. Step 6: Final answer
    x = 369,797.22

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.