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Finding the Third Proportional to 84,977.75 and 183,259.75

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Solution

The third proportional to 84,977.75 and 183,259.75 is: 395,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,977.75 : 183,259.75 = 183,259.75 : x
  2. Step 2: Convert to fraction form
    84,977.75/183,259.75 = 183,259.75/x
  3. Step 3: Cross multiply
    84,977.75x = 183,259.75 × 183,259.75
  4. Step 4: Simplify right side
    84,977.75x = 33,584,135,970.06
  5. Step 5: Solve for x
    x = 33,584,135,970.06/84,977.75
  6. Step 6: Final answer
    x = 395,210.93

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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.