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Finding the Third Proportional to 54,314 and 73,088

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Solution

The third proportional to 54,314 and 73,088 is: 98,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314 : 73,088 = 73,088 : x
  2. Step 2: Convert to fraction form
    54,314/73,088 = 73,088/x
  3. Step 3: Cross multiply
    54,314x = 73,088 × 73,088
  4. Step 4: Simplify right side
    54,314x = 5,341,855,744
  5. Step 5: Solve for x
    x = 5,341,855,744/54,314
  6. Step 6: Final answer
    x = 98,351.36

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Why These Related Problems?

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