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Finding the Third Proportional to 129,101.06 and 176,004.56

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Solution

The third proportional to 129,101.06 and 176,004.56 is: 239,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,101.06 : 176,004.56 = 176,004.56 : x
  2. Step 2: Convert to fraction form
    129,101.06/176,004.56 = 176,004.56/x
  3. Step 3: Cross multiply
    129,101.06x = 176,004.56 × 176,004.56
  4. Step 4: Simplify right side
    129,101.06x = 30,977,606,020.82
  5. Step 5: Solve for x
    x = 30,977,606,020.82/129,101.06
  6. Step 6: Final answer
    x = 239,948.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.