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Finding the Third Proportional to 109,158 and 160,665

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Solution

The third proportional to 109,158 and 160,665 is: 236,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,158 : 160,665 = 160,665 : x
  2. Step 2: Convert to fraction form
    109,158/160,665 = 160,665/x
  3. Step 3: Cross multiply
    109,158x = 160,665 × 160,665
  4. Step 4: Simplify right side
    109,158x = 25,813,242,225
  5. Step 5: Solve for x
    x = 25,813,242,225/109,158
  6. Step 6: Final answer
    x = 236,475.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.