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Finding the Third Proportional to 35,056 and 76,058

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Solution

The third proportional to 35,056 and 76,058 is: 165,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,056 : 76,058 = 76,058 : x
  2. Step 2: Convert to fraction form
    35,056/76,058 = 76,058/x
  3. Step 3: Cross multiply
    35,056x = 76,058 × 76,058
  4. Step 4: Simplify right side
    35,056x = 5,784,819,364
  5. Step 5: Solve for x
    x = 5,784,819,364/35,056
  6. Step 6: Final answer
    x = 165,016.53

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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.