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Finding the Third Proportional to 53,854 and 114,186

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Solution

The third proportional to 53,854 and 114,186 is: 242,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854 : 114,186 = 114,186 : x
  2. Step 2: Convert to fraction form
    53,854/114,186 = 114,186/x
  3. Step 3: Cross multiply
    53,854x = 114,186 × 114,186
  4. Step 4: Simplify right side
    53,854x = 13,038,442,596
  5. Step 5: Solve for x
    x = 13,038,442,596/53,854
  6. Step 6: Final answer
    x = 242,107.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.