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Finding the Third Proportional to 53,542 and 119,052

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Solution

The third proportional to 53,542 and 119,052 is: 264,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542 : 119,052 = 119,052 : x
  2. Step 2: Convert to fraction form
    53,542/119,052 = 119,052/x
  3. Step 3: Cross multiply
    53,542x = 119,052 × 119,052
  4. Step 4: Simplify right side
    53,542x = 14,173,378,704
  5. Step 5: Solve for x
    x = 14,173,378,704/53,542
  6. Step 6: Final answer
    x = 264,715.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.