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Finding the Third Proportional to 53,953 and 118,612

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Solution

The third proportional to 53,953 and 118,612 is: 260,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,953 : 118,612 = 118,612 : x
  2. Step 2: Convert to fraction form
    53,953/118,612 = 118,612/x
  3. Step 3: Cross multiply
    53,953x = 118,612 × 118,612
  4. Step 4: Simplify right side
    53,953x = 14,068,806,544
  5. Step 5: Solve for x
    x = 14,068,806,544/53,953
  6. Step 6: Final answer
    x = 260,760.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.