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Finding the Third Proportional to 79,133 and 186,803

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Solution

The third proportional to 79,133 and 186,803 is: 440,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,133 : 186,803 = 186,803 : x
  2. Step 2: Convert to fraction form
    79,133/186,803 = 186,803/x
  3. Step 3: Cross multiply
    79,133x = 186,803 × 186,803
  4. Step 4: Simplify right side
    79,133x = 34,895,360,809
  5. Step 5: Solve for x
    x = 34,895,360,809/79,133
  6. Step 6: Final answer
    x = 440,971.03

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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.