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Finding the Third Proportional to 66,369 and 144,400

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Solution

The third proportional to 66,369 and 144,400 is: 314,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,369 : 144,400 = 144,400 : x
  2. Step 2: Convert to fraction form
    66,369/144,400 = 144,400/x
  3. Step 3: Cross multiply
    66,369x = 144,400 × 144,400
  4. Step 4: Simplify right side
    66,369x = 20,851,360,000
  5. Step 5: Solve for x
    x = 20,851,360,000/66,369
  6. Step 6: Final answer
    x = 314,173.18

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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.