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Finding the Third Proportional to 103,864 and 162,723

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Solution

The third proportional to 103,864 and 162,723 is: 254,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,864 : 162,723 = 162,723 : x
  2. Step 2: Convert to fraction form
    103,864/162,723 = 162,723/x
  3. Step 3: Cross multiply
    103,864x = 162,723 × 162,723
  4. Step 4: Simplify right side
    103,864x = 26,478,774,729
  5. Step 5: Solve for x
    x = 26,478,774,729/103,864
  6. Step 6: Final answer
    x = 254,936.98

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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.