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Finding the Third Proportional to 105,236 and 160,986

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Solution

The third proportional to 105,236 and 160,986 is: 246,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,236 : 160,986 = 160,986 : x
  2. Step 2: Convert to fraction form
    105,236/160,986 = 160,986/x
  3. Step 3: Cross multiply
    105,236x = 160,986 × 160,986
  4. Step 4: Simplify right side
    105,236x = 25,916,492,196
  5. Step 5: Solve for x
    x = 25,916,492,196/105,236
  6. Step 6: Final answer
    x = 246,270.21

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