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Finding the Third Proportional to 103,624 and 164,777

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Solution

The third proportional to 103,624 and 164,777 is: 262,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 164,777 = 164,777 : x
  2. Step 2: Convert to fraction form
    103,624/164,777 = 164,777/x
  3. Step 3: Cross multiply
    103,624x = 164,777 × 164,777
  4. Step 4: Simplify right side
    103,624x = 27,151,459,729
  5. Step 5: Solve for x
    x = 27,151,459,729/103,624
  6. Step 6: Final answer
    x = 262,019.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.