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Finding the Third Proportional to 63,616 and 134,912

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Solution

The third proportional to 63,616 and 134,912 is: 286,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,616 : 134,912 = 134,912 : x
  2. Step 2: Convert to fraction form
    63,616/134,912 = 134,912/x
  3. Step 3: Cross multiply
    63,616x = 134,912 × 134,912
  4. Step 4: Simplify right side
    63,616x = 18,201,247,744
  5. Step 5: Solve for x
    x = 18,201,247,744/63,616
  6. Step 6: Final answer
    x = 286,111.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.