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Finding the Third Proportional to 63,922 and 139,507

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Solution

The third proportional to 63,922 and 139,507 is: 304,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,922 : 139,507 = 139,507 : x
  2. Step 2: Convert to fraction form
    63,922/139,507 = 139,507/x
  3. Step 3: Cross multiply
    63,922x = 139,507 × 139,507
  4. Step 4: Simplify right side
    63,922x = 19,462,203,049
  5. Step 5: Solve for x
    x = 19,462,203,049/63,922
  6. Step 6: Final answer
    x = 304,467.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.