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Finding the Third Proportional to 53,022 and 115,373

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Solution

The third proportional to 53,022 and 115,373 is: 251,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022 : 115,373 = 115,373 : x
  2. Step 2: Convert to fraction form
    53,022/115,373 = 115,373/x
  3. Step 3: Cross multiply
    53,022x = 115,373 × 115,373
  4. Step 4: Simplify right side
    53,022x = 13,310,929,129
  5. Step 5: Solve for x
    x = 13,310,929,129/53,022
  6. Step 6: Final answer
    x = 251,045.40

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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.