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Finding the Third Proportional to 58,810 and 120,212

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Solution

The third proportional to 58,810 and 120,212 is: 245,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,810 : 120,212 = 120,212 : x
  2. Step 2: Convert to fraction form
    58,810/120,212 = 120,212/x
  3. Step 3: Cross multiply
    58,810x = 120,212 × 120,212
  4. Step 4: Simplify right side
    58,810x = 14,450,924,944
  5. Step 5: Solve for x
    x = 14,450,924,944/58,810
  6. Step 6: Final answer
    x = 245,722.24

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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.