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Finding the Third Proportional to 89,073 and 133,177.50

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Solution

The third proportional to 89,073 and 133,177.50 is: 199,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,073 : 133,177.50 = 133,177.50 : x
  2. Step 2: Convert to fraction form
    89,073/133,177.50 = 133,177.50/x
  3. Step 3: Cross multiply
    89,073x = 133,177.50 × 133,177.50
  4. Step 4: Simplify right side
    89,073x = 17,736,246,506.25
  5. Step 5: Solve for x
    x = 17,736,246,506.25/89,073
  6. Step 6: Final answer
    x = 199,120.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.