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Finding the Third Proportional to 94,632 and 201,960

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Solution

The third proportional to 94,632 and 201,960 is: 431,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,632 : 201,960 = 201,960 : x
  2. Step 2: Convert to fraction form
    94,632/201,960 = 201,960/x
  3. Step 3: Cross multiply
    94,632x = 201,960 × 201,960
  4. Step 4: Simplify right side
    94,632x = 40,787,841,600
  5. Step 5: Solve for x
    x = 40,787,841,600/94,632
  6. Step 6: Final answer
    x = 431,015.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.