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Finding the Third Proportional to 82,485 and 183,924

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Solution

The third proportional to 82,485 and 183,924 is: 410,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,485 : 183,924 = 183,924 : x
  2. Step 2: Convert to fraction form
    82,485/183,924 = 183,924/x
  3. Step 3: Cross multiply
    82,485x = 183,924 × 183,924
  4. Step 4: Simplify right side
    82,485x = 33,828,037,776
  5. Step 5: Solve for x
    x = 33,828,037,776/82,485
  6. Step 6: Final answer
    x = 410,111.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.