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Finding the Third Proportional to 105,239 and 160,991

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Solution

The third proportional to 105,239 and 160,991 is: 246,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239 : 160,991 = 160,991 : x
  2. Step 2: Convert to fraction form
    105,239/160,991 = 160,991/x
  3. Step 3: Cross multiply
    105,239x = 160,991 × 160,991
  4. Step 4: Simplify right side
    105,239x = 25,918,102,081
  5. Step 5: Solve for x
    x = 25,918,102,081/105,239
  6. Step 6: Final answer
    x = 246,278.49

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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.