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Finding the Third Proportional to 53,692 and 121,304

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Solution

The third proportional to 53,692 and 121,304 is: 274,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692 : 121,304 = 121,304 : x
  2. Step 2: Convert to fraction form
    53,692/121,304 = 121,304/x
  3. Step 3: Cross multiply
    53,692x = 121,304 × 121,304
  4. Step 4: Simplify right side
    53,692x = 14,714,660,416
  5. Step 5: Solve for x
    x = 14,714,660,416/53,692
  6. Step 6: Final answer
    x = 274,056.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.