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Finding the Third Proportional to 40,121 and 88,018

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Solution

The third proportional to 40,121 and 88,018 is: 193,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,121 : 88,018 = 88,018 : x
  2. Step 2: Convert to fraction form
    40,121/88,018 = 88,018/x
  3. Step 3: Cross multiply
    40,121x = 88,018 × 88,018
  4. Step 4: Simplify right side
    40,121x = 7,747,168,324
  5. Step 5: Solve for x
    x = 7,747,168,324/40,121
  6. Step 6: Final answer
    x = 193,095.10

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Why These Related Problems?

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