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Finding the Third Proportional to 110,018 and 163,028

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Solution

The third proportional to 110,018 and 163,028 is: 241,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,018 : 163,028 = 163,028 : x
  2. Step 2: Convert to fraction form
    110,018/163,028 = 163,028/x
  3. Step 3: Cross multiply
    110,018x = 163,028 × 163,028
  4. Step 4: Simplify right side
    110,018x = 26,578,128,784
  5. Step 5: Solve for x
    x = 26,578,128,784/110,018
  6. Step 6: Final answer
    x = 241,579.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.