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Finding the Third Proportional to 30,199 and 64,052

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Solution

The third proportional to 30,199 and 64,052 is: 135,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199 : 64,052 = 64,052 : x
  2. Step 2: Convert to fraction form
    30,199/64,052 = 64,052/x
  3. Step 3: Cross multiply
    30,199x = 64,052 × 64,052
  4. Step 4: Simplify right side
    30,199x = 4,102,658,704
  5. Step 5: Solve for x
    x = 4,102,658,704/30,199
  6. Step 6: Final answer
    x = 135,854.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.