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Finding the Third Proportional to 35,082 and 74,373

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Solution

The third proportional to 35,082 and 74,373 is: 157,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082 : 74,373 = 74,373 : x
  2. Step 2: Convert to fraction form
    35,082/74,373 = 74,373/x
  3. Step 3: Cross multiply
    35,082x = 74,373 × 74,373
  4. Step 4: Simplify right side
    35,082x = 5,531,343,129
  5. Step 5: Solve for x
    x = 5,531,343,129/35,082
  6. Step 6: Final answer
    x = 157,668.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.