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Finding the Third Proportional to 64,513.25 and 139,406.38

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Solution

The third proportional to 64,513.25 and 139,406.38 is: 301,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,513.25 : 139,406.38 = 139,406.38 : x
  2. Step 2: Convert to fraction form
    64,513.25/139,406.38 = 139,406.38/x
  3. Step 3: Cross multiply
    64,513.25x = 139,406.38 × 139,406.38
  4. Step 4: Simplify right side
    64,513.25x = 19,434,137,390.64
  5. Step 5: Solve for x
    x = 19,434,137,390.64/64,513.25
  6. Step 6: Final answer
    x = 301,242.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.