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Finding the Third Proportional to 115,662 and 168,570

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Solution

The third proportional to 115,662 and 168,570 is: 245,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,662 : 168,570 = 168,570 : x
  2. Step 2: Convert to fraction form
    115,662/168,570 = 168,570/x
  3. Step 3: Cross multiply
    115,662x = 168,570 × 168,570
  4. Step 4: Simplify right side
    115,662x = 28,415,844,900
  5. Step 5: Solve for x
    x = 28,415,844,900/115,662
  6. Step 6: Final answer
    x = 245,680.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.