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Finding the Third Proportional to 65,492 and 143,245

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Solution

The third proportional to 65,492 and 143,245 is: 313,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,492 : 143,245 = 143,245 : x
  2. Step 2: Convert to fraction form
    65,492/143,245 = 143,245/x
  3. Step 3: Cross multiply
    65,492x = 143,245 × 143,245
  4. Step 4: Simplify right side
    65,492x = 20,519,130,025
  5. Step 5: Solve for x
    x = 20,519,130,025/65,492
  6. Step 6: Final answer
    x = 313,307.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.