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Finding the Third Proportional to 87,075 and 190,764

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Solution

The third proportional to 87,075 and 190,764 is: 417,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,075 : 190,764 = 190,764 : x
  2. Step 2: Convert to fraction form
    87,075/190,764 = 190,764/x
  3. Step 3: Cross multiply
    87,075x = 190,764 × 190,764
  4. Step 4: Simplify right side
    87,075x = 36,390,903,696
  5. Step 5: Solve for x
    x = 36,390,903,696/87,075
  6. Step 6: Final answer
    x = 417,925.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.