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Finding the Third Proportional to 53,538 and 83,274

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Solution

The third proportional to 53,538 and 83,274 is: 129,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538 : 83,274 = 83,274 : x
  2. Step 2: Convert to fraction form
    53,538/83,274 = 83,274/x
  3. Step 3: Cross multiply
    53,538x = 83,274 × 83,274
  4. Step 4: Simplify right side
    53,538x = 6,934,559,076
  5. Step 5: Solve for x
    x = 6,934,559,076/53,538
  6. Step 6: Final answer
    x = 129,525.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.