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Finding the Third Proportional to 63,935 and 134,610

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Solution

The third proportional to 63,935 and 134,610 is: 283,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,935 : 134,610 = 134,610 : x
  2. Step 2: Convert to fraction form
    63,935/134,610 = 134,610/x
  3. Step 3: Cross multiply
    63,935x = 134,610 × 134,610
  4. Step 4: Simplify right side
    63,935x = 18,119,852,100
  5. Step 5: Solve for x
    x = 18,119,852,100/63,935
  6. Step 6: Final answer
    x = 283,410.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.