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Finding the Third Proportional to 82,898.34 and 125,135.34

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Solution

The third proportional to 82,898.34 and 125,135.34 is: 188,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898.34 : 125,135.34 = 125,135.34 : x
  2. Step 2: Convert to fraction form
    82,898.34/125,135.34 = 125,135.34/x
  3. Step 3: Cross multiply
    82,898.34x = 125,135.34 × 125,135.34
  4. Step 4: Simplify right side
    82,898.34x = 15,658,854,255.43
  5. Step 5: Solve for x
    x = 15,658,854,255.43/82,898.34
  6. Step 6: Final answer
    x = 188,892.24

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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.