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Finding the Third Proportional to 107,156.25 and 161,706.38

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Solution

The third proportional to 107,156.25 and 161,706.38 is: 244,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,156.25 : 161,706.38 = 161,706.38 : x
  2. Step 2: Convert to fraction form
    107,156.25/161,706.38 = 161,706.38/x
  3. Step 3: Cross multiply
    107,156.25x = 161,706.38 × 161,706.38
  4. Step 4: Simplify right side
    107,156.25x = 26,148,951,715.64
  5. Step 5: Solve for x
    x = 26,148,951,715.64/107,156.25
  6. Step 6: Final answer
    x = 244,026.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.