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Finding the Third Proportional to 85,316 and 132,806

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Solution

The third proportional to 85,316 and 132,806 is: 206,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,316 : 132,806 = 132,806 : x
  2. Step 2: Convert to fraction form
    85,316/132,806 = 132,806/x
  3. Step 3: Cross multiply
    85,316x = 132,806 × 132,806
  4. Step 4: Simplify right side
    85,316x = 17,637,433,636
  5. Step 5: Solve for x
    x = 17,637,433,636/85,316
  6. Step 6: Final answer
    x = 206,730.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.