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Finding the Third Proportional to 92,586.38 and 138,270.38

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Solution

The third proportional to 92,586.38 and 138,270.38 is: 206,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,586.38 : 138,270.38 = 138,270.38 : x
  2. Step 2: Convert to fraction form
    92,586.38/138,270.38 = 138,270.38/x
  3. Step 3: Cross multiply
    92,586.38x = 138,270.38 × 138,270.38
  4. Step 4: Simplify right side
    92,586.38x = 19,118,696,602.64
  5. Step 5: Solve for x
    x = 19,118,696,602.64/92,586.38
  6. Step 6: Final answer
    x = 206,495.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.