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Finding the Third Proportional to 69,251 and 104,534

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Solution

The third proportional to 69,251 and 104,534 is: 157,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,251 : 104,534 = 104,534 : x
  2. Step 2: Convert to fraction form
    69,251/104,534 = 104,534/x
  3. Step 3: Cross multiply
    69,251x = 104,534 × 104,534
  4. Step 4: Simplify right side
    69,251x = 10,927,357,156
  5. Step 5: Solve for x
    x = 10,927,357,156/69,251
  6. Step 6: Final answer
    x = 157,793.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.