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Finding the Third Proportional to 105,737 and 161,955

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Solution

The third proportional to 105,737 and 161,955 is: 248,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,737 : 161,955 = 161,955 : x
  2. Step 2: Convert to fraction form
    105,737/161,955 = 161,955/x
  3. Step 3: Cross multiply
    105,737x = 161,955 × 161,955
  4. Step 4: Simplify right side
    105,737x = 26,229,422,025
  5. Step 5: Solve for x
    x = 26,229,422,025/105,737
  6. Step 6: Final answer
    x = 248,062.85

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Why These Related Problems?

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