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Finding the Third Proportional to 65,590 and 143,492

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Solution

The third proportional to 65,590 and 143,492 is: 313,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,590 : 143,492 = 143,492 : x
  2. Step 2: Convert to fraction form
    65,590/143,492 = 143,492/x
  3. Step 3: Cross multiply
    65,590x = 143,492 × 143,492
  4. Step 4: Simplify right side
    65,590x = 20,589,954,064
  5. Step 5: Solve for x
    x = 20,589,954,064/65,590
  6. Step 6: Final answer
    x = 313,919.10

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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.