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Finding the Third Proportional to 75,752 and 164,608

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Solution

The third proportional to 75,752 and 164,608 is: 357,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,752 : 164,608 = 164,608 : x
  2. Step 2: Convert to fraction form
    75,752/164,608 = 164,608/x
  3. Step 3: Cross multiply
    75,752x = 164,608 × 164,608
  4. Step 4: Simplify right side
    75,752x = 27,095,793,664
  5. Step 5: Solve for x
    x = 27,095,793,664/75,752
  6. Step 6: Final answer
    x = 357,690.80

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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.