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Finding the Third Proportional to 38,054 and 81,964

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Solution

The third proportional to 38,054 and 81,964 is: 176,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054 : 81,964 = 81,964 : x
  2. Step 2: Convert to fraction form
    38,054/81,964 = 81,964/x
  3. Step 3: Cross multiply
    38,054x = 81,964 × 81,964
  4. Step 4: Simplify right side
    38,054x = 6,718,097,296
  5. Step 5: Solve for x
    x = 6,718,097,296/38,054
  6. Step 6: Final answer
    x = 176,541.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.