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Finding the Third Proportional to 63,998 and 139,640

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Solution

The third proportional to 63,998 and 139,640 is: 304,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,998 : 139,640 = 139,640 : x
  2. Step 2: Convert to fraction form
    63,998/139,640 = 139,640/x
  3. Step 3: Cross multiply
    63,998x = 139,640 × 139,640
  4. Step 4: Simplify right side
    63,998x = 19,499,329,600
  5. Step 5: Solve for x
    x = 19,499,329,600/63,998
  6. Step 6: Final answer
    x = 304,686.55

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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.