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Finding the Third Proportional to 42,313 and 91,910

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Solution

The third proportional to 42,313 and 91,910 is: 199,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,313 : 91,910 = 91,910 : x
  2. Step 2: Convert to fraction form
    42,313/91,910 = 91,910/x
  3. Step 3: Cross multiply
    42,313x = 91,910 × 91,910
  4. Step 4: Simplify right side
    42,313x = 8,447,448,100
  5. Step 5: Solve for x
    x = 8,447,448,100/42,313
  6. Step 6: Final answer
    x = 199,641.91

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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.