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Finding the Third Proportional to 66,354.50 and 102,754

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Solution

The third proportional to 66,354.50 and 102,754 is: 159,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354.50 : 102,754 = 102,754 : x
  2. Step 2: Convert to fraction form
    66,354.50/102,754 = 102,754/x
  3. Step 3: Cross multiply
    66,354.50x = 102,754 × 102,754
  4. Step 4: Simplify right side
    66,354.50x = 10,558,384,516
  5. Step 5: Solve for x
    x = 10,558,384,516/66,354.50
  6. Step 6: Final answer
    x = 159,120.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.