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Finding the Third Proportional to 84,664.50 and 116,097.75

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Solution

The third proportional to 84,664.50 and 116,097.75 is: 159,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,664.50 : 116,097.75 = 116,097.75 : x
  2. Step 2: Convert to fraction form
    84,664.50/116,097.75 = 116,097.75/x
  3. Step 3: Cross multiply
    84,664.50x = 116,097.75 × 116,097.75
  4. Step 4: Simplify right side
    84,664.50x = 13,478,687,555.06
  5. Step 5: Solve for x
    x = 13,478,687,555.06/84,664.50
  6. Step 6: Final answer
    x = 159,201.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.