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Finding the Third Proportional to 92,223.25 and 138,420.46

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Solution

The third proportional to 92,223.25 and 138,420.46 is: 207,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223.25 : 138,420.46 = 138,420.46 : x
  2. Step 2: Convert to fraction form
    92,223.25/138,420.46 = 138,420.46/x
  3. Step 3: Cross multiply
    92,223.25x = 138,420.46 × 138,420.46
  4. Step 4: Simplify right side
    92,223.25x = 19,160,222,924.74
  5. Step 5: Solve for x
    x = 19,160,222,924.74/92,223.25
  6. Step 6: Final answer
    x = 207,759.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.