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Finding the Third Proportional to 118,521 and 180,085.50

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Solution

The third proportional to 118,521 and 180,085.50 is: 273,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,521 : 180,085.50 = 180,085.50 : x
  2. Step 2: Convert to fraction form
    118,521/180,085.50 = 180,085.50/x
  3. Step 3: Cross multiply
    118,521x = 180,085.50 × 180,085.50
  4. Step 4: Simplify right side
    118,521x = 32,430,787,310.25
  5. Step 5: Solve for x
    x = 32,430,787,310.25/118,521
  6. Step 6: Final answer
    x = 273,629.04

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