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Finding the Third Proportional to 97,765.73 and 139,455.42

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Solution

The third proportional to 97,765.73 and 139,455.42 is: 198,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.73 : 139,455.42 = 139,455.42 : x
  2. Step 2: Convert to fraction form
    97,765.73/139,455.42 = 139,455.42/x
  3. Step 3: Cross multiply
    97,765.73x = 139,455.42 × 139,455.42
  4. Step 4: Simplify right side
    97,765.73x = 19,447,814,690.33
  5. Step 5: Solve for x
    x = 19,447,814,690.33/97,765.73
  6. Step 6: Final answer
    x = 198,922.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.