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Finding the Third Proportional to 40,185 and 88,025

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Solution

The third proportional to 40,185 and 88,025 is: 192,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,185 : 88,025 = 88,025 : x
  2. Step 2: Convert to fraction form
    40,185/88,025 = 88,025/x
  3. Step 3: Cross multiply
    40,185x = 88,025 × 88,025
  4. Step 4: Simplify right side
    40,185x = 7,748,400,625
  5. Step 5: Solve for x
    x = 7,748,400,625/40,185
  6. Step 6: Final answer
    x = 192,818.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.