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Finding the Third Proportional to 51,362 and 72,117

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Solution

The third proportional to 51,362 and 72,117 is: 101,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,362 : 72,117 = 72,117 : x
  2. Step 2: Convert to fraction form
    51,362/72,117 = 72,117/x
  3. Step 3: Cross multiply
    51,362x = 72,117 × 72,117
  4. Step 4: Simplify right side
    51,362x = 5,200,861,689
  5. Step 5: Solve for x
    x = 5,200,861,689/51,362
  6. Step 6: Final answer
    x = 101,258.94

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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.