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Finding the Third Proportional to 142,076 and 236,760

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Solution

The third proportional to 142,076 and 236,760 is: 394,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,076 : 236,760 = 236,760 : x
  2. Step 2: Convert to fraction form
    142,076/236,760 = 236,760/x
  3. Step 3: Cross multiply
    142,076x = 236,760 × 236,760
  4. Step 4: Simplify right side
    142,076x = 56,055,297,600
  5. Step 5: Solve for x
    x = 56,055,297,600/142,076
  6. Step 6: Final answer
    x = 394,544.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.