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Finding the Third Proportional to 114,890.91 and 174,766.36

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Solution

The third proportional to 114,890.91 and 174,766.36 is: 265,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,890.91 : 174,766.36 = 174,766.36 : x
  2. Step 2: Convert to fraction form
    114,890.91/174,766.36 = 174,766.36/x
  3. Step 3: Cross multiply
    114,890.91x = 174,766.36 × 174,766.36
  4. Step 4: Simplify right side
    114,890.91x = 30,543,280,369.19
  5. Step 5: Solve for x
    x = 30,543,280,369.19/114,890.91
  6. Step 6: Final answer
    x = 265,845.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.