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Finding the Third Proportional to 29,142 and 63,994

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Solution

The third proportional to 29,142 and 63,994 is: 140,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142 : 63,994 = 63,994 : x
  2. Step 2: Convert to fraction form
    29,142/63,994 = 63,994/x
  3. Step 3: Cross multiply
    29,142x = 63,994 × 63,994
  4. Step 4: Simplify right side
    29,142x = 4,095,232,036
  5. Step 5: Solve for x
    x = 4,095,232,036/29,142
  6. Step 6: Final answer
    x = 140,526.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.