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Finding the Third Proportional to 29,262 and 63,132

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Solution

The third proportional to 29,262 and 63,132 is: 136,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,262 : 63,132 = 63,132 : x
  2. Step 2: Convert to fraction form
    29,262/63,132 = 63,132/x
  3. Step 3: Cross multiply
    29,262x = 63,132 × 63,132
  4. Step 4: Simplify right side
    29,262x = 3,985,649,424
  5. Step 5: Solve for x
    x = 3,985,649,424/29,262
  6. Step 6: Final answer
    x = 136,205.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.