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Finding the Third Proportional to 94,005 and 202,545

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Solution

The third proportional to 94,005 and 202,545 is: 436,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,005 : 202,545 = 202,545 : x
  2. Step 2: Convert to fraction form
    94,005/202,545 = 202,545/x
  3. Step 3: Cross multiply
    94,005x = 202,545 × 202,545
  4. Step 4: Simplify right side
    94,005x = 41,024,477,025
  5. Step 5: Solve for x
    x = 41,024,477,025/94,005
  6. Step 6: Final answer
    x = 436,407.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.