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Finding the Third Proportional to 137,140 and 207,171

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Solution

The third proportional to 137,140 and 207,171 is: 312,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,140 : 207,171 = 207,171 : x
  2. Step 2: Convert to fraction form
    137,140/207,171 = 207,171/x
  3. Step 3: Cross multiply
    137,140x = 207,171 × 207,171
  4. Step 4: Simplify right side
    137,140x = 42,919,823,241
  5. Step 5: Solve for x
    x = 42,919,823,241/137,140
  6. Step 6: Final answer
    x = 312,963.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.