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Finding the Third Proportional to 75,480 and 165,888

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Solution

The third proportional to 75,480 and 165,888 is: 364,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,480 : 165,888 = 165,888 : x
  2. Step 2: Convert to fraction form
    75,480/165,888 = 165,888/x
  3. Step 3: Cross multiply
    75,480x = 165,888 × 165,888
  4. Step 4: Simplify right side
    75,480x = 27,518,828,544
  5. Step 5: Solve for x
    x = 27,518,828,544/75,480
  6. Step 6: Final answer
    x = 364,584.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.