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Finding the Third Proportional to 45,096 and 64,958

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Solution

The third proportional to 45,096 and 64,958 is: 93,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096 : 64,958 = 64,958 : x
  2. Step 2: Convert to fraction form
    45,096/64,958 = 64,958/x
  3. Step 3: Cross multiply
    45,096x = 64,958 × 64,958
  4. Step 4: Simplify right side
    45,096x = 4,219,541,764
  5. Step 5: Solve for x
    x = 4,219,541,764/45,096
  6. Step 6: Final answer
    x = 93,567.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.