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Finding the Third Proportional to 124,598.25 and 188,193.38

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Solution

The third proportional to 124,598.25 and 188,193.38 is: 284,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,598.25 : 188,193.38 = 188,193.38 : x
  2. Step 2: Convert to fraction form
    124,598.25/188,193.38 = 188,193.38/x
  3. Step 3: Cross multiply
    124,598.25x = 188,193.38 × 188,193.38
  4. Step 4: Simplify right side
    124,598.25x = 35,416,746,393.89
  5. Step 5: Solve for x
    x = 35,416,746,393.89/124,598.25
  6. Step 6: Final answer
    x = 284,247.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.