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Finding the Third Proportional to 65,830 and 106,018

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Solution

The third proportional to 65,830 and 106,018 is: 170,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830 : 106,018 = 106,018 : x
  2. Step 2: Convert to fraction form
    65,830/106,018 = 106,018/x
  3. Step 3: Cross multiply
    65,830x = 106,018 × 106,018
  4. Step 4: Simplify right side
    65,830x = 11,239,816,324
  5. Step 5: Solve for x
    x = 11,239,816,324/65,830
  6. Step 6: Final answer
    x = 170,740.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.