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Finding the Third Proportional to 39,932 and 87,316

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Solution

The third proportional to 39,932 and 87,316 is: 190,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932 : 87,316 = 87,316 : x
  2. Step 2: Convert to fraction form
    39,932/87,316 = 87,316/x
  3. Step 3: Cross multiply
    39,932x = 87,316 × 87,316
  4. Step 4: Simplify right side
    39,932x = 7,624,083,856
  5. Step 5: Solve for x
    x = 7,624,083,856/39,932
  6. Step 6: Final answer
    x = 190,926.67

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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.