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Finding the Third Proportional to 75,883.50 and 165,153.94

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Solution

The third proportional to 75,883.50 and 165,153.94 is: 359,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.50 : 165,153.94 = 165,153.94 : x
  2. Step 2: Convert to fraction form
    75,883.50/165,153.94 = 165,153.94/x
  3. Step 3: Cross multiply
    75,883.50x = 165,153.94 × 165,153.94
  4. Step 4: Simplify right side
    75,883.50x = 27,275,823,071.75
  5. Step 5: Solve for x
    x = 27,275,823,071.75/75,883.50
  6. Step 6: Final answer
    x = 359,443.40

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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.