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Finding the Third Proportional to 72,813 and 103,144.50

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Solution

The third proportional to 72,813 and 103,144.50 is: 146,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,813 : 103,144.50 = 103,144.50 : x
  2. Step 2: Convert to fraction form
    72,813/103,144.50 = 103,144.50/x
  3. Step 3: Cross multiply
    72,813x = 103,144.50 × 103,144.50
  4. Step 4: Simplify right side
    72,813x = 10,638,787,880.25
  5. Step 5: Solve for x
    x = 10,638,787,880.25/72,813
  6. Step 6: Final answer
    x = 146,111.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.