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Finding the Third Proportional to 35,639 and 75,301

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Solution

The third proportional to 35,639 and 75,301 is: 159,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,639 : 75,301 = 75,301 : x
  2. Step 2: Convert to fraction form
    35,639/75,301 = 75,301/x
  3. Step 3: Cross multiply
    35,639x = 75,301 × 75,301
  4. Step 4: Simplify right side
    35,639x = 5,670,240,601
  5. Step 5: Solve for x
    x = 5,670,240,601/35,639
  6. Step 6: Final answer
    x = 159,102.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.