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Finding the Third Proportional to 81,130 and 174,332

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Solution

The third proportional to 81,130 and 174,332 is: 374,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,130 : 174,332 = 174,332 : x
  2. Step 2: Convert to fraction form
    81,130/174,332 = 174,332/x
  3. Step 3: Cross multiply
    81,130x = 174,332 × 174,332
  4. Step 4: Simplify right side
    81,130x = 30,391,646,224
  5. Step 5: Solve for x
    x = 30,391,646,224/81,130
  6. Step 6: Final answer
    x = 374,604.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.