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Finding the Third Proportional to 82,026 and 176,855.06

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Solution

The third proportional to 82,026 and 176,855.06 is: 381,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026 : 176,855.06 = 176,855.06 : x
  2. Step 2: Convert to fraction form
    82,026/176,855.06 = 176,855.06/x
  3. Step 3: Cross multiply
    82,026x = 176,855.06 × 176,855.06
  4. Step 4: Simplify right side
    82,026x = 31,277,713,131.88
  5. Step 5: Solve for x
    x = 31,277,713,131.88/82,026
  6. Step 6: Final answer
    x = 381,314.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.