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Finding the Third Proportional to 53,324 and 116,692

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Solution

The third proportional to 53,324 and 116,692 is: 255,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,324 : 116,692 = 116,692 : x
  2. Step 2: Convert to fraction form
    53,324/116,692 = 116,692/x
  3. Step 3: Cross multiply
    53,324x = 116,692 × 116,692
  4. Step 4: Simplify right side
    53,324x = 13,617,022,864
  5. Step 5: Solve for x
    x = 13,617,022,864/53,324
  6. Step 6: Final answer
    x = 255,363.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.