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Finding the Third Proportional to 114,153 and 181,800

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Solution

The third proportional to 114,153 and 181,800 is: 289,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,153 : 181,800 = 181,800 : x
  2. Step 2: Convert to fraction form
    114,153/181,800 = 181,800/x
  3. Step 3: Cross multiply
    114,153x = 181,800 × 181,800
  4. Step 4: Simplify right side
    114,153x = 33,051,240,000
  5. Step 5: Solve for x
    x = 33,051,240,000/114,153
  6. Step 6: Final answer
    x = 289,534.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.