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Finding the Third Proportional to 35,347 and 73,154

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Solution

The third proportional to 35,347 and 73,154 is: 151,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347 : 73,154 = 73,154 : x
  2. Step 2: Convert to fraction form
    35,347/73,154 = 73,154/x
  3. Step 3: Cross multiply
    35,347x = 73,154 × 73,154
  4. Step 4: Simplify right side
    35,347x = 5,351,507,716
  5. Step 5: Solve for x
    x = 5,351,507,716/35,347
  6. Step 6: Final answer
    x = 151,399.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.