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Finding the Third Proportional to 77,904 and 111,018

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Solution

The third proportional to 77,904 and 111,018 is: 158,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,904 : 111,018 = 111,018 : x
  2. Step 2: Convert to fraction form
    77,904/111,018 = 111,018/x
  3. Step 3: Cross multiply
    77,904x = 111,018 × 111,018
  4. Step 4: Simplify right side
    77,904x = 12,324,996,324
  5. Step 5: Solve for x
    x = 12,324,996,324/77,904
  6. Step 6: Final answer
    x = 158,207.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.