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Finding the Third Proportional to 134,066 and 187,395

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Solution

The third proportional to 134,066 and 187,395 is: 261,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,066 : 187,395 = 187,395 : x
  2. Step 2: Convert to fraction form
    134,066/187,395 = 187,395/x
  3. Step 3: Cross multiply
    134,066x = 187,395 × 187,395
  4. Step 4: Simplify right side
    134,066x = 35,116,886,025
  5. Step 5: Solve for x
    x = 35,116,886,025/134,066
  6. Step 6: Final answer
    x = 261,937.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.