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Finding the Third Proportional to 63,508 and 139,470

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Solution

The third proportional to 63,508 and 139,470 is: 306,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,508 : 139,470 = 139,470 : x
  2. Step 2: Convert to fraction form
    63,508/139,470 = 139,470/x
  3. Step 3: Cross multiply
    63,508x = 139,470 × 139,470
  4. Step 4: Simplify right side
    63,508x = 19,451,880,900
  5. Step 5: Solve for x
    x = 19,451,880,900/63,508
  6. Step 6: Final answer
    x = 306,290.25

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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.