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Finding the Third Proportional to 53,948 and 119,685

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Solution

The third proportional to 53,948 and 119,685 is: 265,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,948 : 119,685 = 119,685 : x
  2. Step 2: Convert to fraction form
    53,948/119,685 = 119,685/x
  3. Step 3: Cross multiply
    53,948x = 119,685 × 119,685
  4. Step 4: Simplify right side
    53,948x = 14,324,499,225
  5. Step 5: Solve for x
    x = 14,324,499,225/53,948
  6. Step 6: Final answer
    x = 265,524.19

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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.