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Finding the Third Proportional to 39,144 and 84,666

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Solution

The third proportional to 39,144 and 84,666 is: 183,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,144 : 84,666 = 84,666 : x
  2. Step 2: Convert to fraction form
    39,144/84,666 = 84,666/x
  3. Step 3: Cross multiply
    39,144x = 84,666 × 84,666
  4. Step 4: Simplify right side
    39,144x = 7,168,331,556
  5. Step 5: Solve for x
    x = 7,168,331,556/39,144
  6. Step 6: Final answer
    x = 183,127.21

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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.