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Finding the Third Proportional to 103,803.19 and 162,624.38

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Solution

The third proportional to 103,803.19 and 162,624.38 is: 254,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,803.19 : 162,624.38 = 162,624.38 : x
  2. Step 2: Convert to fraction form
    103,803.19/162,624.38 = 162,624.38/x
  3. Step 3: Cross multiply
    103,803.19x = 162,624.38 × 162,624.38
  4. Step 4: Simplify right side
    103,803.19x = 26,446,687,344.14
  5. Step 5: Solve for x
    x = 26,446,687,344.14/103,803.19
  6. Step 6: Final answer
    x = 254,777.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.