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Finding the Third Proportional to 82,536 and 176,808

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Solution

The third proportional to 82,536 and 176,808 is: 378,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536 : 176,808 = 176,808 : x
  2. Step 2: Convert to fraction form
    82,536/176,808 = 176,808/x
  3. Step 3: Cross multiply
    82,536x = 176,808 × 176,808
  4. Step 4: Simplify right side
    82,536x = 31,261,068,864
  5. Step 5: Solve for x
    x = 31,261,068,864/82,536
  6. Step 6: Final answer
    x = 378,756.77

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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.