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Finding the Third Proportional to 63,378 and 136,804

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Solution

The third proportional to 63,378 and 136,804 is: 295,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,378 : 136,804 = 136,804 : x
  2. Step 2: Convert to fraction form
    63,378/136,804 = 136,804/x
  3. Step 3: Cross multiply
    63,378x = 136,804 × 136,804
  4. Step 4: Simplify right side
    63,378x = 18,715,334,416
  5. Step 5: Solve for x
    x = 18,715,334,416/63,378
  6. Step 6: Final answer
    x = 295,297.02

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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.