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Finding the Third Proportional to 54,658 and 73,858

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Solution

The third proportional to 54,658 and 73,858 is: 99,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658 : 73,858 = 73,858 : x
  2. Step 2: Convert to fraction form
    54,658/73,858 = 73,858/x
  3. Step 3: Cross multiply
    54,658x = 73,858 × 73,858
  4. Step 4: Simplify right side
    54,658x = 5,455,004,164
  5. Step 5: Solve for x
    x = 5,455,004,164/54,658
  6. Step 6: Final answer
    x = 99,802.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.