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Finding the Third Proportional to 69,356 and 104,522

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Solution

The third proportional to 69,356 and 104,522 is: 157,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,356 : 104,522 = 104,522 : x
  2. Step 2: Convert to fraction form
    69,356/104,522 = 104,522/x
  3. Step 3: Cross multiply
    69,356x = 104,522 × 104,522
  4. Step 4: Simplify right side
    69,356x = 10,924,848,484
  5. Step 5: Solve for x
    x = 10,924,848,484/69,356
  6. Step 6: Final answer
    x = 157,518.43

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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.