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Finding the Third Proportional to 114,544.13 and 174,774.38

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Solution

The third proportional to 114,544.13 and 174,774.38 is: 266,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.13 : 174,774.38 = 174,774.38 : x
  2. Step 2: Convert to fraction form
    114,544.13/174,774.38 = 174,774.38/x
  3. Step 3: Cross multiply
    114,544.13x = 174,774.38 × 174,774.38
  4. Step 4: Simplify right side
    114,544.13x = 30,546,082,156.64
  5. Step 5: Solve for x
    x = 30,546,082,156.64/114,544.13
  6. Step 6: Final answer
    x = 266,675.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.