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Finding the Third Proportional to 35,125 and 76,082

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Solution

The third proportional to 35,125 and 76,082 is: 164,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,125 : 76,082 = 76,082 : x
  2. Step 2: Convert to fraction form
    35,125/76,082 = 76,082/x
  3. Step 3: Cross multiply
    35,125x = 76,082 × 76,082
  4. Step 4: Simplify right side
    35,125x = 5,788,470,724
  5. Step 5: Solve for x
    x = 5,788,470,724/35,125
  6. Step 6: Final answer
    x = 164,796.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.