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Finding the Third Proportional to 60,026 and 129,678

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Solution

The third proportional to 60,026 and 129,678 is: 280,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,026 : 129,678 = 129,678 : x
  2. Step 2: Convert to fraction form
    60,026/129,678 = 129,678/x
  3. Step 3: Cross multiply
    60,026x = 129,678 × 129,678
  4. Step 4: Simplify right side
    60,026x = 16,816,383,684
  5. Step 5: Solve for x
    x = 16,816,383,684/60,026
  6. Step 6: Final answer
    x = 280,151.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.