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Finding the Third Proportional to 138,719.25 and 210,091.50

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Solution

The third proportional to 138,719.25 and 210,091.50 is: 318,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719.25 : 210,091.50 = 210,091.50 : x
  2. Step 2: Convert to fraction form
    138,719.25/210,091.50 = 210,091.50/x
  3. Step 3: Cross multiply
    138,719.25x = 210,091.50 × 210,091.50
  4. Step 4: Simplify right side
    138,719.25x = 44,138,438,372.25
  5. Step 5: Solve for x
    x = 44,138,438,372.25/138,719.25
  6. Step 6: Final answer
    x = 318,185.39

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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.