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Finding the Third Proportional to 62,842 and 134,678

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Solution

The third proportional to 62,842 and 134,678 is: 288,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842 : 134,678 = 134,678 : x
  2. Step 2: Convert to fraction form
    62,842/134,678 = 134,678/x
  3. Step 3: Cross multiply
    62,842x = 134,678 × 134,678
  4. Step 4: Simplify right side
    62,842x = 18,138,163,684
  5. Step 5: Solve for x
    x = 18,138,163,684/62,842
  6. Step 6: Final answer
    x = 288,631.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.