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Finding the Third Proportional to 69,304 and 104,583

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Solution

The third proportional to 69,304 and 104,583 is: 157,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,304 : 104,583 = 104,583 : x
  2. Step 2: Convert to fraction form
    69,304/104,583 = 104,583/x
  3. Step 3: Cross multiply
    69,304x = 104,583 × 104,583
  4. Step 4: Simplify right side
    69,304x = 10,937,603,889
  5. Step 5: Solve for x
    x = 10,937,603,889/69,304
  6. Step 6: Final answer
    x = 157,820.67

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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.