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Finding the Third Proportional to 66,868.50 and 104,394

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Solution

The third proportional to 66,868.50 and 104,394 is: 162,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,868.50 : 104,394 = 104,394 : x
  2. Step 2: Convert to fraction form
    66,868.50/104,394 = 104,394/x
  3. Step 3: Cross multiply
    66,868.50x = 104,394 × 104,394
  4. Step 4: Simplify right side
    66,868.50x = 10,898,107,236
  5. Step 5: Solve for x
    x = 10,898,107,236/66,868.50
  6. Step 6: Final answer
    x = 162,978.19

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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.