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Finding the Third Proportional to 45,948 and 73,721

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Solution

The third proportional to 45,948 and 73,721 is: 118,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,948 : 73,721 = 73,721 : x
  2. Step 2: Convert to fraction form
    45,948/73,721 = 73,721/x
  3. Step 3: Cross multiply
    45,948x = 73,721 × 73,721
  4. Step 4: Simplify right side
    45,948x = 5,434,785,841
  5. Step 5: Solve for x
    x = 5,434,785,841/45,948
  6. Step 6: Final answer
    x = 118,281.23

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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.