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Finding the Third Proportional to 71,975.81 and 108,954.56

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Solution

The third proportional to 71,975.81 and 108,954.56 is: 164,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,975.81 : 108,954.56 = 108,954.56 : x
  2. Step 2: Convert to fraction form
    71,975.81/108,954.56 = 108,954.56/x
  3. Step 3: Cross multiply
    71,975.81x = 108,954.56 × 108,954.56
  4. Step 4: Simplify right side
    71,975.81x = 11,871,096,689.57
  5. Step 5: Solve for x
    x = 11,871,096,689.57/71,975.81
  6. Step 6: Final answer
    x = 164,931.75

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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.