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Finding the Third Proportional to 92,580.75 and 138,264.75

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Solution

The third proportional to 92,580.75 and 138,264.75 is: 206,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,580.75 : 138,264.75 = 138,264.75 : x
  2. Step 2: Convert to fraction form
    92,580.75/138,264.75 = 138,264.75/x
  3. Step 3: Cross multiply
    92,580.75x = 138,264.75 × 138,264.75
  4. Step 4: Simplify right side
    92,580.75x = 19,117,141,092.56
  5. Step 5: Solve for x
    x = 19,117,141,092.56/92,580.75
  6. Step 6: Final answer
    x = 206,491.53

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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.