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Finding the Third Proportional to 79,094 and 186,702

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Solution

The third proportional to 79,094 and 186,702 is: 440,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,094 : 186,702 = 186,702 : x
  2. Step 2: Convert to fraction form
    79,094/186,702 = 186,702/x
  3. Step 3: Cross multiply
    79,094x = 186,702 × 186,702
  4. Step 4: Simplify right side
    79,094x = 34,857,636,804
  5. Step 5: Solve for x
    x = 34,857,636,804/79,094
  6. Step 6: Final answer
    x = 440,711.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.