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Finding the Third Proportional to 114,485.91 and 174,701.81

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Solution

The third proportional to 114,485.91 and 174,701.81 is: 266,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,485.91 : 174,701.81 = 174,701.81 : x
  2. Step 2: Convert to fraction form
    114,485.91/174,701.81 = 174,701.81/x
  3. Step 3: Cross multiply
    114,485.91x = 174,701.81 × 174,701.81
  4. Step 4: Simplify right side
    114,485.91x = 30,520,723,290.79
  5. Step 5: Solve for x
    x = 30,520,723,290.79/114,485.91
  6. Step 6: Final answer
    x = 266,589.35

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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.