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Finding the Third Proportional to 44,964 and 71,454

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Solution

The third proportional to 44,964 and 71,454 is: 113,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,964 : 71,454 = 71,454 : x
  2. Step 2: Convert to fraction form
    44,964/71,454 = 71,454/x
  3. Step 3: Cross multiply
    44,964x = 71,454 × 71,454
  4. Step 4: Simplify right side
    44,964x = 5,105,674,116
  5. Step 5: Solve for x
    x = 5,105,674,116/44,964
  6. Step 6: Final answer
    x = 113,550.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.