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Finding the Third Proportional to 116,910.56 and 176,202.56

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Solution

The third proportional to 116,910.56 and 176,202.56 is: 265,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,910.56 : 176,202.56 = 176,202.56 : x
  2. Step 2: Convert to fraction form
    116,910.56/176,202.56 = 176,202.56/x
  3. Step 3: Cross multiply
    116,910.56x = 176,202.56 × 176,202.56
  4. Step 4: Simplify right side
    116,910.56x = 31,047,343,031.57
  5. Step 5: Solve for x
    x = 31,047,343,031.57/116,910.56
  6. Step 6: Final answer
    x = 265,564.91

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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.