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Finding the Third Proportional to 105,795 and 162,044

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Solution

The third proportional to 105,795 and 162,044 is: 248,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,795 : 162,044 = 162,044 : x
  2. Step 2: Convert to fraction form
    105,795/162,044 = 162,044/x
  3. Step 3: Cross multiply
    105,795x = 162,044 × 162,044
  4. Step 4: Simplify right side
    105,795x = 26,258,257,936
  5. Step 5: Solve for x
    x = 26,258,257,936/105,795
  6. Step 6: Final answer
    x = 248,199.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.