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Finding the Third Proportional to 117,966.56 and 187,638.38

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Solution

The third proportional to 117,966.56 and 187,638.38 is: 298,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,966.56 : 187,638.38 = 187,638.38 : x
  2. Step 2: Convert to fraction form
    117,966.56/187,638.38 = 187,638.38/x
  3. Step 3: Cross multiply
    117,966.56x = 187,638.38 × 187,638.38
  4. Step 4: Simplify right side
    117,966.56x = 35,208,159,772.64
  5. Step 5: Solve for x
    x = 35,208,159,772.64/117,966.56
  6. Step 6: Final answer
    x = 298,458.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.