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Finding the Third Proportional to 65,880.75 and 144,882

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Solution

The third proportional to 65,880.75 and 144,882 is: 318,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880.75 : 144,882 = 144,882 : x
  2. Step 2: Convert to fraction form
    65,880.75/144,882 = 144,882/x
  3. Step 3: Cross multiply
    65,880.75x = 144,882 × 144,882
  4. Step 4: Simplify right side
    65,880.75x = 20,990,793,924
  5. Step 5: Solve for x
    x = 20,990,793,924/65,880.75
  6. Step 6: Final answer
    x = 318,618.02

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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.