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Finding the Third Proportional to 75,102 and 164,054

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Solution

The third proportional to 75,102 and 164,054 is: 358,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102 : 164,054 = 164,054 : x
  2. Step 2: Convert to fraction form
    75,102/164,054 = 164,054/x
  3. Step 3: Cross multiply
    75,102x = 164,054 × 164,054
  4. Step 4: Simplify right side
    75,102x = 26,913,714,916
  5. Step 5: Solve for x
    x = 26,913,714,916/75,102
  6. Step 6: Final answer
    x = 358,362.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.