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Finding the Third Proportional to 45,954 and 73,730

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Solution

The third proportional to 45,954 and 73,730 is: 118,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,954 : 73,730 = 73,730 : x
  2. Step 2: Convert to fraction form
    45,954/73,730 = 73,730/x
  3. Step 3: Cross multiply
    45,954x = 73,730 × 73,730
  4. Step 4: Simplify right side
    45,954x = 5,436,112,900
  5. Step 5: Solve for x
    x = 5,436,112,900/45,954
  6. Step 6: Final answer
    x = 118,294.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.