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Finding the Third Proportional to 36,058 and 77,321

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Solution

The third proportional to 36,058 and 77,321 is: 165,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,058 : 77,321 = 77,321 : x
  2. Step 2: Convert to fraction form
    36,058/77,321 = 77,321/x
  3. Step 3: Cross multiply
    36,058x = 77,321 × 77,321
  4. Step 4: Simplify right side
    36,058x = 5,978,537,041
  5. Step 5: Solve for x
    x = 5,978,537,041/36,058
  6. Step 6: Final answer
    x = 165,803.35

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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.