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Finding the Third Proportional to 73,857 and 162,475.50

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Solution

The third proportional to 73,857 and 162,475.50 is: 357,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857 : 162,475.50 = 162,475.50 : x
  2. Step 2: Convert to fraction form
    73,857/162,475.50 = 162,475.50/x
  3. Step 3: Cross multiply
    73,857x = 162,475.50 × 162,475.50
  4. Step 4: Simplify right side
    73,857x = 26,398,288,100.25
  5. Step 5: Solve for x
    x = 26,398,288,100.25/73,857
  6. Step 6: Final answer
    x = 357,424.32

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