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Finding the Third Proportional to 28,142 and 61,898

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Solution

The third proportional to 28,142 and 61,898 is: 136,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142 : 61,898 = 61,898 : x
  2. Step 2: Convert to fraction form
    28,142/61,898 = 61,898/x
  3. Step 3: Cross multiply
    28,142x = 61,898 × 61,898
  4. Step 4: Simplify right side
    28,142x = 3,831,362,404
  5. Step 5: Solve for x
    x = 3,831,362,404/28,142
  6. Step 6: Final answer
    x = 136,143.93

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