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Finding the Third Proportional to 41,053 and 88,852.75

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Solution

The third proportional to 41,053 and 88,852.75 is: 192,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,053 : 88,852.75 = 88,852.75 : x
  2. Step 2: Convert to fraction form
    41,053/88,852.75 = 88,852.75/x
  3. Step 3: Cross multiply
    41,053x = 88,852.75 × 88,852.75
  4. Step 4: Simplify right side
    41,053x = 7,894,811,182.56
  5. Step 5: Solve for x
    x = 7,894,811,182.56/41,053
  6. Step 6: Final answer
    x = 192,307.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.