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Finding the Third Proportional to 55,082 and 74,319

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Solution

The third proportional to 55,082 and 74,319 is: 100,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082 : 74,319 = 74,319 : x
  2. Step 2: Convert to fraction form
    55,082/74,319 = 74,319/x
  3. Step 3: Cross multiply
    55,082x = 74,319 × 74,319
  4. Step 4: Simplify right side
    55,082x = 5,523,313,761
  5. Step 5: Solve for x
    x = 5,523,313,761/55,082
  6. Step 6: Final answer
    x = 100,274.39

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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.