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Finding the Third Proportional to 91,187.50 and 136,416.25

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Solution

The third proportional to 91,187.50 and 136,416.25 is: 204,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,187.50 : 136,416.25 = 136,416.25 : x
  2. Step 2: Convert to fraction form
    91,187.50/136,416.25 = 136,416.25/x
  3. Step 3: Cross multiply
    91,187.50x = 136,416.25 × 136,416.25
  4. Step 4: Simplify right side
    91,187.50x = 18,609,393,264.06
  5. Step 5: Solve for x
    x = 18,609,393,264.06/91,187.50
  6. Step 6: Final answer
    x = 204,078.34

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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.