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Finding the Third Proportional to 53,574 and 116,364

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Solution

The third proportional to 53,574 and 116,364 is: 252,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,574 : 116,364 = 116,364 : x
  2. Step 2: Convert to fraction form
    53,574/116,364 = 116,364/x
  3. Step 3: Cross multiply
    53,574x = 116,364 × 116,364
  4. Step 4: Simplify right side
    53,574x = 13,540,580,496
  5. Step 5: Solve for x
    x = 13,540,580,496/53,574
  6. Step 6: Final answer
    x = 252,745.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.