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Finding the Third Proportional to 29,173 and 63,996

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Solution

The third proportional to 29,173 and 63,996 is: 140,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,173 : 63,996 = 63,996 : x
  2. Step 2: Convert to fraction form
    29,173/63,996 = 63,996/x
  3. Step 3: Cross multiply
    29,173x = 63,996 × 63,996
  4. Step 4: Simplify right side
    29,173x = 4,095,488,016
  5. Step 5: Solve for x
    x = 4,095,488,016/29,173
  6. Step 6: Final answer
    x = 140,386.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.