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Finding the Third Proportional to 66,465.75 and 102,162.75

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Solution

The third proportional to 66,465.75 and 102,162.75 is: 157,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465.75 : 102,162.75 = 102,162.75 : x
  2. Step 2: Convert to fraction form
    66,465.75/102,162.75 = 102,162.75/x
  3. Step 3: Cross multiply
    66,465.75x = 102,162.75 × 102,162.75
  4. Step 4: Simplify right side
    66,465.75x = 10,437,227,487.56
  5. Step 5: Solve for x
    x = 10,437,227,487.56/66,465.75
  6. Step 6: Final answer
    x = 157,031.67

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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.