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Finding the Third Proportional to 105,007 and 168,445

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Solution

The third proportional to 105,007 and 168,445 is: 270,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,007 : 168,445 = 168,445 : x
  2. Step 2: Convert to fraction form
    105,007/168,445 = 168,445/x
  3. Step 3: Cross multiply
    105,007x = 168,445 × 168,445
  4. Step 4: Simplify right side
    105,007x = 28,373,718,025
  5. Step 5: Solve for x
    x = 28,373,718,025/105,007
  6. Step 6: Final answer
    x = 270,207.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.