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Finding the Third Proportional to 94,611 and 157,678.50

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Solution

The third proportional to 94,611 and 157,678.50 is: 262,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,611 : 157,678.50 = 157,678.50 : x
  2. Step 2: Convert to fraction form
    94,611/157,678.50 = 157,678.50/x
  3. Step 3: Cross multiply
    94,611x = 157,678.50 × 157,678.50
  4. Step 4: Simplify right side
    94,611x = 24,862,509,362.25
  5. Step 5: Solve for x
    x = 24,862,509,362.25/94,611
  6. Step 6: Final answer
    x = 262,786.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.