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Finding the Third Proportional to 142,212 and 229,086

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Solution

The third proportional to 142,212 and 229,086 is: 369,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212 : 229,086 = 229,086 : x
  2. Step 2: Convert to fraction form
    142,212/229,086 = 229,086/x
  3. Step 3: Cross multiply
    142,212x = 229,086 × 229,086
  4. Step 4: Simplify right side
    142,212x = 52,480,395,396
  5. Step 5: Solve for x
    x = 52,480,395,396/142,212
  6. Step 6: Final answer
    x = 369,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.