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Finding the Third Proportional to 107,910 and 161,487

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Solution

The third proportional to 107,910 and 161,487 is: 241,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,910 : 161,487 = 161,487 : x
  2. Step 2: Convert to fraction form
    107,910/161,487 = 161,487/x
  3. Step 3: Cross multiply
    107,910x = 161,487 × 161,487
  4. Step 4: Simplify right side
    107,910x = 26,078,051,169
  5. Step 5: Solve for x
    x = 26,078,051,169/107,910
  6. Step 6: Final answer
    x = 241,664.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.