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Finding the Third Proportional to 38,075 and 84,310

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Solution

The third proportional to 38,075 and 84,310 is: 186,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075 : 84,310 = 84,310 : x
  2. Step 2: Convert to fraction form
    38,075/84,310 = 84,310/x
  3. Step 3: Cross multiply
    38,075x = 84,310 × 84,310
  4. Step 4: Simplify right side
    38,075x = 7,108,176,100
  5. Step 5: Solve for x
    x = 7,108,176,100/38,075
  6. Step 6: Final answer
    x = 186,688.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.