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Finding the Third Proportional to 113,883.47 and 174,276.56

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Solution

The third proportional to 113,883.47 and 174,276.56 is: 266,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,883.47 : 174,276.56 = 174,276.56 : x
  2. Step 2: Convert to fraction form
    113,883.47/174,276.56 = 174,276.56/x
  3. Step 3: Cross multiply
    113,883.47x = 174,276.56 × 174,276.56
  4. Step 4: Simplify right side
    113,883.47x = 30,372,320,236.82
  5. Step 5: Solve for x
    x = 30,372,320,236.82/113,883.47
  6. Step 6: Final answer
    x = 266,696.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.