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Finding the Third Proportional to 85,740.75 and 188,082

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Solution

The third proportional to 85,740.75 and 188,082 is: 412,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,740.75 : 188,082 = 188,082 : x
  2. Step 2: Convert to fraction form
    85,740.75/188,082 = 188,082/x
  3. Step 3: Cross multiply
    85,740.75x = 188,082 × 188,082
  4. Step 4: Simplify right side
    85,740.75x = 35,374,838,724
  5. Step 5: Solve for x
    x = 35,374,838,724/85,740.75
  6. Step 6: Final answer
    x = 412,579.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.