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Finding the Third Proportional to 79,596 and 115,114.50

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Solution

The third proportional to 79,596 and 115,114.50 is: 166,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,596 : 115,114.50 = 115,114.50 : x
  2. Step 2: Convert to fraction form
    79,596/115,114.50 = 115,114.50/x
  3. Step 3: Cross multiply
    79,596x = 115,114.50 × 115,114.50
  4. Step 4: Simplify right side
    79,596x = 13,251,348,110.25
  5. Step 5: Solve for x
    x = 13,251,348,110.25/79,596
  6. Step 6: Final answer
    x = 166,482.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.