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Finding the Third Proportional to 62,268 and 94,842

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Solution

The third proportional to 62,268 and 94,842 is: 144,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,268 : 94,842 = 94,842 : x
  2. Step 2: Convert to fraction form
    62,268/94,842 = 94,842/x
  3. Step 3: Cross multiply
    62,268x = 94,842 × 94,842
  4. Step 4: Simplify right side
    62,268x = 8,995,004,964
  5. Step 5: Solve for x
    x = 8,995,004,964/62,268
  6. Step 6: Final answer
    x = 144,456.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.