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Finding the Third Proportional to 77,017 and 103,018

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Solution

The third proportional to 77,017 and 103,018 is: 137,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,017 : 103,018 = 103,018 : x
  2. Step 2: Convert to fraction form
    77,017/103,018 = 103,018/x
  3. Step 3: Cross multiply
    77,017x = 103,018 × 103,018
  4. Step 4: Simplify right side
    77,017x = 10,612,708,324
  5. Step 5: Solve for x
    x = 10,612,708,324/77,017
  6. Step 6: Final answer
    x = 137,796.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.