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Finding the Third Proportional to 79,948 and 115,502

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Solution

The third proportional to 79,948 and 115,502 is: 166,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,948 : 115,502 = 115,502 : x
  2. Step 2: Convert to fraction form
    79,948/115,502 = 115,502/x
  3. Step 3: Cross multiply
    79,948x = 115,502 × 115,502
  4. Step 4: Simplify right side
    79,948x = 13,340,712,004
  5. Step 5: Solve for x
    x = 13,340,712,004/79,948
  6. Step 6: Final answer
    x = 166,867.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.