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Finding the Third Proportional to 53,600 and 117,566

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Solution

The third proportional to 53,600 and 117,566 is: 257,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,600 : 117,566 = 117,566 : x
  2. Step 2: Convert to fraction form
    53,600/117,566 = 117,566/x
  3. Step 3: Cross multiply
    53,600x = 117,566 × 117,566
  4. Step 4: Simplify right side
    53,600x = 13,821,764,356
  5. Step 5: Solve for x
    x = 13,821,764,356/53,600
  6. Step 6: Final answer
    x = 257,868.74

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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.