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Finding the Third Proportional to 65,314 and 141,492

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Solution

The third proportional to 65,314 and 141,492 is: 306,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314 : 141,492 = 141,492 : x
  2. Step 2: Convert to fraction form
    65,314/141,492 = 141,492/x
  3. Step 3: Cross multiply
    65,314x = 141,492 × 141,492
  4. Step 4: Simplify right side
    65,314x = 20,019,986,064
  5. Step 5: Solve for x
    x = 20,019,986,064/65,314
  6. Step 6: Final answer
    x = 306,519.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.