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Finding the Third Proportional to 117,004 and 252,672

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Solution

The third proportional to 117,004 and 252,672 is: 545,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004 : 252,672 = 252,672 : x
  2. Step 2: Convert to fraction form
    117,004/252,672 = 252,672/x
  3. Step 3: Cross multiply
    117,004x = 252,672 × 252,672
  4. Step 4: Simplify right side
    117,004x = 63,843,139,584
  5. Step 5: Solve for x
    x = 63,843,139,584/117,004
  6. Step 6: Final answer
    x = 545,649.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.