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Finding the Third Proportional to 117,007 and 252,724

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Solution

The third proportional to 117,007 and 252,724 is: 545,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 252,724 = 252,724 : x
  2. Step 2: Convert to fraction form
    117,007/252,724 = 252,724/x
  3. Step 3: Cross multiply
    117,007x = 252,724 × 252,724
  4. Step 4: Simplify right side
    117,007x = 63,869,420,176
  5. Step 5: Solve for x
    x = 63,869,420,176/117,007
  6. Step 6: Final answer
    x = 545,859.82

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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.