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Finding the Third Proportional to 113,572.76 and 178,187.03

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Solution

The third proportional to 113,572.76 and 178,187.03 is: 279,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,572.76 : 178,187.03 = 178,187.03 : x
  2. Step 2: Convert to fraction form
    113,572.76/178,187.03 = 178,187.03/x
  3. Step 3: Cross multiply
    113,572.76x = 178,187.03 × 178,187.03
  4. Step 4: Simplify right side
    113,572.76x = 31,750,616,713.60
  5. Step 5: Solve for x
    x = 31,750,616,713.60/113,572.76
  6. Step 6: Final answer
    x = 279,561.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.