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Finding the Third Proportional to 51,364 and 72,120

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Solution

The third proportional to 51,364 and 72,120 is: 101,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,364 : 72,120 = 72,120 : x
  2. Step 2: Convert to fraction form
    51,364/72,120 = 72,120/x
  3. Step 3: Cross multiply
    51,364x = 72,120 × 72,120
  4. Step 4: Simplify right side
    51,364x = 5,201,294,400
  5. Step 5: Solve for x
    x = 5,201,294,400/51,364
  6. Step 6: Final answer
    x = 101,263.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.