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Finding the Third Proportional to 79,298 and 115,969

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Solution

The third proportional to 79,298 and 115,969 is: 169,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,298 : 115,969 = 115,969 : x
  2. Step 2: Convert to fraction form
    79,298/115,969 = 115,969/x
  3. Step 3: Cross multiply
    79,298x = 115,969 × 115,969
  4. Step 4: Simplify right side
    79,298x = 13,448,808,961
  5. Step 5: Solve for x
    x = 13,448,808,961/79,298
  6. Step 6: Final answer
    x = 169,598.34

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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.