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Finding the Third Proportional to 75,951 and 165,290.63

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Solution

The third proportional to 75,951 and 165,290.63 is: 359,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951 : 165,290.63 = 165,290.63 : x
  2. Step 2: Convert to fraction form
    75,951/165,290.63 = 165,290.63/x
  3. Step 3: Cross multiply
    75,951x = 165,290.63 × 165,290.63
  4. Step 4: Simplify right side
    75,951x = 27,320,990,712.89
  5. Step 5: Solve for x
    x = 27,320,990,712.89/75,951
  6. Step 6: Final answer
    x = 359,718.64

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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.