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Finding the Third Proportional to 63,466 and 139,388

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Solution

The third proportional to 63,466 and 139,388 is: 306,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466 : 139,388 = 139,388 : x
  2. Step 2: Convert to fraction form
    63,466/139,388 = 139,388/x
  3. Step 3: Cross multiply
    63,466x = 139,388 × 139,388
  4. Step 4: Simplify right side
    63,466x = 19,429,014,544
  5. Step 5: Solve for x
    x = 19,429,014,544/63,466
  6. Step 6: Final answer
    x = 306,132.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.