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Finding the Third Proportional to 59,808 and 122,208

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Solution

The third proportional to 59,808 and 122,208 is: 249,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,808 : 122,208 = 122,208 : x
  2. Step 2: Convert to fraction form
    59,808/122,208 = 122,208/x
  3. Step 3: Cross multiply
    59,808x = 122,208 × 122,208
  4. Step 4: Simplify right side
    59,808x = 14,934,795,264
  5. Step 5: Solve for x
    x = 14,934,795,264/59,808
  6. Step 6: Final answer
    x = 249,712.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.