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Finding the Third Proportional to 30,103 and 65,918

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Solution

The third proportional to 30,103 and 65,918 is: 144,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103 : 65,918 = 65,918 : x
  2. Step 2: Convert to fraction form
    30,103/65,918 = 65,918/x
  3. Step 3: Cross multiply
    30,103x = 65,918 × 65,918
  4. Step 4: Simplify right side
    30,103x = 4,345,182,724
  5. Step 5: Solve for x
    x = 4,345,182,724/30,103
  6. Step 6: Final answer
    x = 144,343.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.