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Finding the Third Proportional to 88,242.75 and 133,177.50

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Solution

The third proportional to 88,242.75 and 133,177.50 is: 200,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,242.75 : 133,177.50 = 133,177.50 : x
  2. Step 2: Convert to fraction form
    88,242.75/133,177.50 = 133,177.50/x
  3. Step 3: Cross multiply
    88,242.75x = 133,177.50 × 133,177.50
  4. Step 4: Simplify right side
    88,242.75x = 17,736,246,506.25
  5. Step 5: Solve for x
    x = 17,736,246,506.25/88,242.75
  6. Step 6: Final answer
    x = 200,993.81

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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.