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Finding the Third Proportional to 55,226 and 74,583

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Solution

The third proportional to 55,226 and 74,583 is: 100,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,226 : 74,583 = 74,583 : x
  2. Step 2: Convert to fraction form
    55,226/74,583 = 74,583/x
  3. Step 3: Cross multiply
    55,226x = 74,583 × 74,583
  4. Step 4: Simplify right side
    55,226x = 5,562,623,889
  5. Step 5: Solve for x
    x = 5,562,623,889/55,226
  6. Step 6: Final answer
    x = 100,724.73

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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.