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Finding the Third Proportional to 116,674 and 176,080

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Solution

The third proportional to 116,674 and 176,080 is: 265,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,674 : 176,080 = 176,080 : x
  2. Step 2: Convert to fraction form
    116,674/176,080 = 176,080/x
  3. Step 3: Cross multiply
    116,674x = 176,080 × 176,080
  4. Step 4: Simplify right side
    116,674x = 31,004,166,400
  5. Step 5: Solve for x
    x = 31,004,166,400/116,674
  6. Step 6: Final answer
    x = 265,733.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.