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Finding the Third Proportional to 116,676 and 176,088

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Solution

The third proportional to 116,676 and 176,088 is: 265,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,676 : 176,088 = 176,088 : x
  2. Step 2: Convert to fraction form
    116,676/176,088 = 176,088/x
  3. Step 3: Cross multiply
    116,676x = 176,088 × 176,088
  4. Step 4: Simplify right side
    116,676x = 31,006,983,744
  5. Step 5: Solve for x
    x = 31,006,983,744/116,676
  6. Step 6: Final answer
    x = 265,752.89

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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.