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Finding the Third Proportional to 78,949.13 and 169,157.25

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Solution

The third proportional to 78,949.13 and 169,157.25 is: 362,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,949.13 : 169,157.25 = 169,157.25 : x
  2. Step 2: Convert to fraction form
    78,949.13/169,157.25 = 169,157.25/x
  3. Step 3: Cross multiply
    78,949.13x = 169,157.25 × 169,157.25
  4. Step 4: Simplify right side
    78,949.13x = 28,614,175,227.56
  5. Step 5: Solve for x
    x = 28,614,175,227.56/78,949.13
  6. Step 6: Final answer
    x = 362,438.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.