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Finding the Third Proportional to 119,961 and 172,786.50

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Solution

The third proportional to 119,961 and 172,786.50 is: 248,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,961 : 172,786.50 = 172,786.50 : x
  2. Step 2: Convert to fraction form
    119,961/172,786.50 = 172,786.50/x
  3. Step 3: Cross multiply
    119,961x = 172,786.50 × 172,786.50
  4. Step 4: Simplify right side
    119,961x = 29,855,174,582.25
  5. Step 5: Solve for x
    x = 29,855,174,582.25/119,961
  6. Step 6: Final answer
    x = 248,874.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.