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Finding the Third Proportional to 73,914 and 162,596

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Solution

The third proportional to 73,914 and 162,596 is: 357,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914 : 162,596 = 162,596 : x
  2. Step 2: Convert to fraction form
    73,914/162,596 = 162,596/x
  3. Step 3: Cross multiply
    73,914x = 162,596 × 162,596
  4. Step 4: Simplify right side
    73,914x = 26,437,459,216
  5. Step 5: Solve for x
    x = 26,437,459,216/73,914
  6. Step 6: Final answer
    x = 357,678.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.