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Finding the Third Proportional to 62,197.50 and 146,196

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Solution

The third proportional to 62,197.50 and 146,196 is: 343,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,197.50 : 146,196 = 146,196 : x
  2. Step 2: Convert to fraction form
    62,197.50/146,196 = 146,196/x
  3. Step 3: Cross multiply
    62,197.50x = 146,196 × 146,196
  4. Step 4: Simplify right side
    62,197.50x = 21,373,270,416
  5. Step 5: Solve for x
    x = 21,373,270,416/62,197.50
  6. Step 6: Final answer
    x = 343,635.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.