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Finding the Third Proportional to 66,465.50 and 102,162

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Solution

The third proportional to 66,465.50 and 102,162 is: 157,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465.50 : 102,162 = 102,162 : x
  2. Step 2: Convert to fraction form
    66,465.50/102,162 = 102,162/x
  3. Step 3: Cross multiply
    66,465.50x = 102,162 × 102,162
  4. Step 4: Simplify right side
    66,465.50x = 10,437,074,244
  5. Step 5: Solve for x
    x = 10,437,074,244/66,465.50
  6. Step 6: Final answer
    x = 157,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.