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Finding the Third Proportional to 57,135.38 and 86,295.38

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Solution

The third proportional to 57,135.38 and 86,295.38 is: 130,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.38 : 86,295.38 = 86,295.38 : x
  2. Step 2: Convert to fraction form
    57,135.38/86,295.38 = 86,295.38/x
  3. Step 3: Cross multiply
    57,135.38x = 86,295.38 × 86,295.38
  4. Step 4: Simplify right side
    57,135.38x = 7,446,891,746.39
  5. Step 5: Solve for x
    x = 7,446,891,746.39/57,135.38
  6. Step 6: Final answer
    x = 130,337.67

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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.