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Finding the Third Proportional to 105,239 and 160,485

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Solution

The third proportional to 105,239 and 160,485 is: 244,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239 : 160,485 = 160,485 : x
  2. Step 2: Convert to fraction form
    105,239/160,485 = 160,485/x
  3. Step 3: Cross multiply
    105,239x = 160,485 × 160,485
  4. Step 4: Simplify right side
    105,239x = 25,755,435,225
  5. Step 5: Solve for x
    x = 25,755,435,225/105,239
  6. Step 6: Final answer
    x = 244,732.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.