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Finding the Third Proportional to 59,222 and 121,212

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Solution

The third proportional to 59,222 and 121,212 is: 248,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,222 : 121,212 = 121,212 : x
  2. Step 2: Convert to fraction form
    59,222/121,212 = 121,212/x
  3. Step 3: Cross multiply
    59,222x = 121,212 × 121,212
  4. Step 4: Simplify right side
    59,222x = 14,692,348,944
  5. Step 5: Solve for x
    x = 14,692,348,944/59,222
  6. Step 6: Final answer
    x = 248,089.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.