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Finding the Third Proportional to 53,118 and 116,037

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Solution

The third proportional to 53,118 and 116,037 is: 253,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,118 : 116,037 = 116,037 : x
  2. Step 2: Convert to fraction form
    53,118/116,037 = 116,037/x
  3. Step 3: Cross multiply
    53,118x = 116,037 × 116,037
  4. Step 4: Simplify right side
    53,118x = 13,464,585,369
  5. Step 5: Solve for x
    x = 13,464,585,369/53,118
  6. Step 6: Final answer
    x = 253,484.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.