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Finding the Third Proportional to 114,528.94 and 174,754.97

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Solution

The third proportional to 114,528.94 and 174,754.97 is: 266,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,528.94 : 174,754.97 = 174,754.97 : x
  2. Step 2: Convert to fraction form
    114,528.94/174,754.97 = 174,754.97/x
  3. Step 3: Cross multiply
    114,528.94x = 174,754.97 × 174,754.97
  4. Step 4: Simplify right side
    114,528.94x = 30,539,299,102.81
  5. Step 5: Solve for x
    x = 30,539,299,102.81/114,528.94
  6. Step 6: Final answer
    x = 266,651.38

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Why These Related Problems?

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