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Finding the Third Proportional to 94,720 and 202,573

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Solution

The third proportional to 94,720 and 202,573 is: 433,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,720 : 202,573 = 202,573 : x
  2. Step 2: Convert to fraction form
    94,720/202,573 = 202,573/x
  3. Step 3: Cross multiply
    94,720x = 202,573 × 202,573
  4. Step 4: Simplify right side
    94,720x = 41,035,820,329
  5. Step 5: Solve for x
    x = 41,035,820,329/94,720
  6. Step 6: Final answer
    x = 433,232.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.