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Finding the Third Proportional to 35,097 and 75,197

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Solution

The third proportional to 35,097 and 75,197 is: 161,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097 : 75,197 = 75,197 : x
  2. Step 2: Convert to fraction form
    35,097/75,197 = 75,197/x
  3. Step 3: Cross multiply
    35,097x = 75,197 × 75,197
  4. Step 4: Simplify right side
    35,097x = 5,654,588,809
  5. Step 5: Solve for x
    x = 5,654,588,809/35,097
  6. Step 6: Final answer
    x = 161,113.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.