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Finding the Third Proportional to 91,313 and 185,137

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Solution

The third proportional to 91,313 and 185,137 is: 375,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,313 : 185,137 = 185,137 : x
  2. Step 2: Convert to fraction form
    91,313/185,137 = 185,137/x
  3. Step 3: Cross multiply
    91,313x = 185,137 × 185,137
  4. Step 4: Simplify right side
    91,313x = 34,275,708,769
  5. Step 5: Solve for x
    x = 34,275,708,769/91,313
  6. Step 6: Final answer
    x = 375,365.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.