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Finding the Third Proportional to 114,100 and 151,426

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Solution

The third proportional to 114,100 and 151,426 is: 200,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,100 : 151,426 = 151,426 : x
  2. Step 2: Convert to fraction form
    114,100/151,426 = 151,426/x
  3. Step 3: Cross multiply
    114,100x = 151,426 × 151,426
  4. Step 4: Simplify right side
    114,100x = 22,929,833,476
  5. Step 5: Solve for x
    x = 22,929,833,476/114,100
  6. Step 6: Final answer
    x = 200,962.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.