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Finding the Third Proportional to 63,905 and 136,006

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Solution

The third proportional to 63,905 and 136,006 is: 289,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,905 : 136,006 = 136,006 : x
  2. Step 2: Convert to fraction form
    63,905/136,006 = 136,006/x
  3. Step 3: Cross multiply
    63,905x = 136,006 × 136,006
  4. Step 4: Simplify right side
    63,905x = 18,497,632,036
  5. Step 5: Solve for x
    x = 18,497,632,036/63,905
  6. Step 6: Final answer
    x = 289,455.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.