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Finding the Third Proportional to 114,050 and 166,611

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Solution

The third proportional to 114,050 and 166,611 is: 243,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,050 : 166,611 = 166,611 : x
  2. Step 2: Convert to fraction form
    114,050/166,611 = 166,611/x
  3. Step 3: Cross multiply
    114,050x = 166,611 × 166,611
  4. Step 4: Simplify right side
    114,050x = 27,759,225,321
  5. Step 5: Solve for x
    x = 27,759,225,321/114,050
  6. Step 6: Final answer
    x = 243,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.