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Finding the Third Proportional to 63,895 and 134,407

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Solution

The third proportional to 63,895 and 134,407 is: 282,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,895 : 134,407 = 134,407 : x
  2. Step 2: Convert to fraction form
    63,895/134,407 = 134,407/x
  3. Step 3: Cross multiply
    63,895x = 134,407 × 134,407
  4. Step 4: Simplify right side
    63,895x = 18,065,241,649
  5. Step 5: Solve for x
    x = 18,065,241,649/63,895
  6. Step 6: Final answer
    x = 282,733.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.