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Finding the Third Proportional to 35,097 and 75,018

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Solution

The third proportional to 35,097 and 75,018 is: 160,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097 : 75,018 = 75,018 : x
  2. Step 2: Convert to fraction form
    35,097/75,018 = 75,018/x
  3. Step 3: Cross multiply
    35,097x = 75,018 × 75,018
  4. Step 4: Simplify right side
    35,097x = 5,627,700,324
  5. Step 5: Solve for x
    x = 5,627,700,324/35,097
  6. Step 6: Final answer
    x = 160,347.05

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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.