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Finding the Third Proportional to 70,216.88 and 161,142.75

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Solution

The third proportional to 70,216.88 and 161,142.75 is: 369,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,216.88 : 161,142.75 = 161,142.75 : x
  2. Step 2: Convert to fraction form
    70,216.88/161,142.75 = 161,142.75/x
  3. Step 3: Cross multiply
    70,216.88x = 161,142.75 × 161,142.75
  4. Step 4: Simplify right side
    70,216.88x = 25,966,985,877.56
  5. Step 5: Solve for x
    x = 25,966,985,877.56/70,216.88
  6. Step 6: Final answer
    x = 369,811.19

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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.