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Finding the Third Proportional to 30,108 and 65,236

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Solution

The third proportional to 30,108 and 65,236 is: 141,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108 : 65,236 = 65,236 : x
  2. Step 2: Convert to fraction form
    30,108/65,236 = 65,236/x
  3. Step 3: Cross multiply
    30,108x = 65,236 × 65,236
  4. Step 4: Simplify right side
    30,108x = 4,255,735,696
  5. Step 5: Solve for x
    x = 4,255,735,696/30,108
  6. Step 6: Final answer
    x = 141,349.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.