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Finding the Third Proportional to 118,392.75 and 180,543.94

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Solution

The third proportional to 118,392.75 and 180,543.94 is: 275,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,392.75 : 180,543.94 = 180,543.94 : x
  2. Step 2: Convert to fraction form
    118,392.75/180,543.94 = 180,543.94/x
  3. Step 3: Cross multiply
    118,392.75x = 180,543.94 × 180,543.94
  4. Step 4: Simplify right side
    118,392.75x = 32,596,113,368.00
  5. Step 5: Solve for x
    x = 32,596,113,368.00/118,392.75
  6. Step 6: Final answer
    x = 275,321.87

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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.