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Finding the Third Proportional to 132,941.88 and 200,995.17

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Solution

The third proportional to 132,941.88 and 200,995.17 is: 303,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,941.88 : 200,995.17 = 200,995.17 : x
  2. Step 2: Convert to fraction form
    132,941.88/200,995.17 = 200,995.17/x
  3. Step 3: Cross multiply
    132,941.88x = 200,995.17 × 200,995.17
  4. Step 4: Simplify right side
    132,941.88x = 40,399,059,117.06
  5. Step 5: Solve for x
    x = 40,399,059,117.06/132,941.88
  6. Step 6: Final answer
    x = 303,885.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.