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Finding the Third Proportional to 84,754 and 180,764

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Solution

The third proportional to 84,754 and 180,764 is: 385,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,754 : 180,764 = 180,764 : x
  2. Step 2: Convert to fraction form
    84,754/180,764 = 180,764/x
  3. Step 3: Cross multiply
    84,754x = 180,764 × 180,764
  4. Step 4: Simplify right side
    84,754x = 32,675,623,696
  5. Step 5: Solve for x
    x = 32,675,623,696/84,754
  6. Step 6: Final answer
    x = 385,534.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.