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Finding the Third Proportional to 75,368 and 164,860

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Solution

The third proportional to 75,368 and 164,860 is: 360,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368 : 164,860 = 164,860 : x
  2. Step 2: Convert to fraction form
    75,368/164,860 = 164,860/x
  3. Step 3: Cross multiply
    75,368x = 164,860 × 164,860
  4. Step 4: Simplify right side
    75,368x = 27,178,819,600
  5. Step 5: Solve for x
    x = 27,178,819,600/75,368
  6. Step 6: Final answer
    x = 360,614.84

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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.