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Finding the Third Proportional to 92,409.75 and 135,320.25

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Solution

The third proportional to 92,409.75 and 135,320.25 is: 198,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,409.75 : 135,320.25 = 135,320.25 : x
  2. Step 2: Convert to fraction form
    92,409.75/135,320.25 = 135,320.25/x
  3. Step 3: Cross multiply
    92,409.75x = 135,320.25 × 135,320.25
  4. Step 4: Simplify right side
    92,409.75x = 18,311,570,060.06
  5. Step 5: Solve for x
    x = 18,311,570,060.06/92,409.75
  6. Step 6: Final answer
    x = 198,156.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.