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Finding the Third Proportional to 84,750.75 and 188,088

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Solution

The third proportional to 84,750.75 and 188,088 is: 417,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,750.75 : 188,088 = 188,088 : x
  2. Step 2: Convert to fraction form
    84,750.75/188,088 = 188,088/x
  3. Step 3: Cross multiply
    84,750.75x = 188,088 × 188,088
  4. Step 4: Simplify right side
    84,750.75x = 35,377,095,744
  5. Step 5: Solve for x
    x = 35,377,095,744/84,750.75
  6. Step 6: Final answer
    x = 417,425.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.