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Finding the Third Proportional to 75,595 and 164,070

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Solution

The third proportional to 75,595 and 164,070 is: 356,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,595 : 164,070 = 164,070 : x
  2. Step 2: Convert to fraction form
    75,595/164,070 = 164,070/x
  3. Step 3: Cross multiply
    75,595x = 164,070 × 164,070
  4. Step 4: Simplify right side
    75,595x = 26,918,964,900
  5. Step 5: Solve for x
    x = 26,918,964,900/75,595
  6. Step 6: Final answer
    x = 356,094.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.