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Finding the Third Proportional to 49,688 and 72,948

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Solution

The third proportional to 49,688 and 72,948 is: 107,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,688 : 72,948 = 72,948 : x
  2. Step 2: Convert to fraction form
    49,688/72,948 = 72,948/x
  3. Step 3: Cross multiply
    49,688x = 72,948 × 72,948
  4. Step 4: Simplify right side
    49,688x = 5,321,410,704
  5. Step 5: Solve for x
    x = 5,321,410,704/49,688
  6. Step 6: Final answer
    x = 107,096.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.