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Finding the Third Proportional to 75,018 and 163,979

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Solution

The third proportional to 75,018 and 163,979 is: 358,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,018 : 163,979 = 163,979 : x
  2. Step 2: Convert to fraction form
    75,018/163,979 = 163,979/x
  3. Step 3: Cross multiply
    75,018x = 163,979 × 163,979
  4. Step 4: Simplify right side
    75,018x = 26,889,112,441
  5. Step 5: Solve for x
    x = 26,889,112,441/75,018
  6. Step 6: Final answer
    x = 358,435.47

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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.