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Finding the Third Proportional to 35,202 and 75,018

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Solution

The third proportional to 35,202 and 75,018 is: 159,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202 : 75,018 = 75,018 : x
  2. Step 2: Convert to fraction form
    35,202/75,018 = 75,018/x
  3. Step 3: Cross multiply
    35,202x = 75,018 × 75,018
  4. Step 4: Simplify right side
    35,202x = 5,627,700,324
  5. Step 5: Solve for x
    x = 5,627,700,324/35,202
  6. Step 6: Final answer
    x = 159,868.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.