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Finding the Third Proportional to 64,058 and 94,431

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Solution

The third proportional to 64,058 and 94,431 is: 139,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,058 : 94,431 = 94,431 : x
  2. Step 2: Convert to fraction form
    64,058/94,431 = 94,431/x
  3. Step 3: Cross multiply
    64,058x = 94,431 × 94,431
  4. Step 4: Simplify right side
    64,058x = 8,917,213,761
  5. Step 5: Solve for x
    x = 8,917,213,761/64,058
  6. Step 6: Final answer
    x = 139,205.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.