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Finding the Third Proportional to 79,305 and 115,792

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Solution

The third proportional to 79,305 and 115,792 is: 169,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,305 : 115,792 = 115,792 : x
  2. Step 2: Convert to fraction form
    79,305/115,792 = 115,792/x
  3. Step 3: Cross multiply
    79,305x = 115,792 × 115,792
  4. Step 4: Simplify right side
    79,305x = 13,407,787,264
  5. Step 5: Solve for x
    x = 13,407,787,264/79,305
  6. Step 6: Final answer
    x = 169,066.10

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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.