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Finding the Third Proportional to 114,050 and 188,693

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Solution

The third proportional to 114,050 and 188,693 is: 312,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,050 : 188,693 = 188,693 : x
  2. Step 2: Convert to fraction form
    114,050/188,693 = 188,693/x
  3. Step 3: Cross multiply
    114,050x = 188,693 × 188,693
  4. Step 4: Simplify right side
    114,050x = 35,605,048,249
  5. Step 5: Solve for x
    x = 35,605,048,249/114,050
  6. Step 6: Final answer
    x = 312,188.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.