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Finding the Third Proportional to 71,822.81 and 145,697.63

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Solution

The third proportional to 71,822.81 and 145,697.63 is: 295,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822.81 : 145,697.63 = 145,697.63 : x
  2. Step 2: Convert to fraction form
    71,822.81/145,697.63 = 145,697.63/x
  3. Step 3: Cross multiply
    71,822.81x = 145,697.63 × 145,697.63
  4. Step 4: Simplify right side
    71,822.81x = 21,227,797,930.64
  5. Step 5: Solve for x
    x = 21,227,797,930.64/71,822.81
  6. Step 6: Final answer
    x = 295,557.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.