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Finding the Third Proportional to 84,020 and 133,105

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Solution

The third proportional to 84,020 and 133,105 is: 210,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,020 : 133,105 = 133,105 : x
  2. Step 2: Convert to fraction form
    84,020/133,105 = 133,105/x
  3. Step 3: Cross multiply
    84,020x = 133,105 × 133,105
  4. Step 4: Simplify right side
    84,020x = 17,716,941,025
  5. Step 5: Solve for x
    x = 17,716,941,025/84,020
  6. Step 6: Final answer
    x = 210,865.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.