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Finding the Third Proportional to 65,808 and 144,732

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Solution

The third proportional to 65,808 and 144,732 is: 318,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808 : 144,732 = 144,732 : x
  2. Step 2: Convert to fraction form
    65,808/144,732 = 144,732/x
  3. Step 3: Cross multiply
    65,808x = 144,732 × 144,732
  4. Step 4: Simplify right side
    65,808x = 20,947,351,824
  5. Step 5: Solve for x
    x = 20,947,351,824/65,808
  6. Step 6: Final answer
    x = 318,310.11

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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.