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Finding the Third Proportional to 54,590 and 74,109

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Solution

The third proportional to 54,590 and 74,109 is: 100,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590 : 74,109 = 74,109 : x
  2. Step 2: Convert to fraction form
    54,590/74,109 = 74,109/x
  3. Step 3: Cross multiply
    54,590x = 74,109 × 74,109
  4. Step 4: Simplify right side
    54,590x = 5,492,143,881
  5. Step 5: Solve for x
    x = 5,492,143,881/54,590
  6. Step 6: Final answer
    x = 100,607.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.