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Finding the Third Proportional to 119,076.50 and 254,529

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Solution

The third proportional to 119,076.50 and 254,529 is: 544,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076.50 : 254,529 = 254,529 : x
  2. Step 2: Convert to fraction form
    119,076.50/254,529 = 254,529/x
  3. Step 3: Cross multiply
    119,076.50x = 254,529 × 254,529
  4. Step 4: Simplify right side
    119,076.50x = 64,785,011,841
  5. Step 5: Solve for x
    x = 64,785,011,841/119,076.50
  6. Step 6: Final answer
    x = 544,062.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.