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Finding the Third Proportional to 63,631.13 and 137,097

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Solution

The third proportional to 63,631.13 and 137,097 is: 295,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,631.13 : 137,097 = 137,097 : x
  2. Step 2: Convert to fraction form
    63,631.13/137,097 = 137,097/x
  3. Step 3: Cross multiply
    63,631.13x = 137,097 × 137,097
  4. Step 4: Simplify right side
    63,631.13x = 18,795,587,409
  5. Step 5: Solve for x
    x = 18,795,587,409/63,631.13
  6. Step 6: Final answer
    x = 295,383.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.