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Finding the Third Proportional to 138,615.75 and 201,462.75

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Solution

The third proportional to 138,615.75 and 201,462.75 is: 292,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615.75 : 201,462.75 = 201,462.75 : x
  2. Step 2: Convert to fraction form
    138,615.75/201,462.75 = 201,462.75/x
  3. Step 3: Cross multiply
    138,615.75x = 201,462.75 × 201,462.75
  4. Step 4: Simplify right side
    138,615.75x = 40,587,239,637.56
  5. Step 5: Solve for x
    x = 40,587,239,637.56/138,615.75
  6. Step 6: Final answer
    x = 292,803.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.