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Finding the Third Proportional to 30,119 and 64,819

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Solution

The third proportional to 30,119 and 64,819 is: 139,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,119 : 64,819 = 64,819 : x
  2. Step 2: Convert to fraction form
    30,119/64,819 = 64,819/x
  3. Step 3: Cross multiply
    30,119x = 64,819 × 64,819
  4. Step 4: Simplify right side
    30,119x = 4,201,502,761
  5. Step 5: Solve for x
    x = 4,201,502,761/30,119
  6. Step 6: Final answer
    x = 139,496.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.