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Finding the Third Proportional to 64,297.50 and 139,287

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Solution

The third proportional to 64,297.50 and 139,287 is: 301,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,297.50 : 139,287 = 139,287 : x
  2. Step 2: Convert to fraction form
    64,297.50/139,287 = 139,287/x
  3. Step 3: Cross multiply
    64,297.50x = 139,287 × 139,287
  4. Step 4: Simplify right side
    64,297.50x = 19,400,868,369
  5. Step 5: Solve for x
    x = 19,400,868,369/64,297.50
  6. Step 6: Final answer
    x = 301,735.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.