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Finding the Third Proportional to 42,316 and 91,927

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Solution

The third proportional to 42,316 and 91,927 is: 199,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,316 : 91,927 = 91,927 : x
  2. Step 2: Convert to fraction form
    42,316/91,927 = 91,927/x
  3. Step 3: Cross multiply
    42,316x = 91,927 × 91,927
  4. Step 4: Simplify right side
    42,316x = 8,450,573,329
  5. Step 5: Solve for x
    x = 8,450,573,329/42,316
  6. Step 6: Final answer
    x = 199,701.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.