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Finding the Third Proportional to 41,386.88 and 92,142

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Solution

The third proportional to 41,386.88 and 92,142 is: 205,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,386.88 : 92,142 = 92,142 : x
  2. Step 2: Convert to fraction form
    41,386.88/92,142 = 92,142/x
  3. Step 3: Cross multiply
    41,386.88x = 92,142 × 92,142
  4. Step 4: Simplify right side
    41,386.88x = 8,490,148,164
  5. Step 5: Solve for x
    x = 8,490,148,164/41,386.88
  6. Step 6: Final answer
    x = 205,141.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.