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Finding the Third Proportional to 71,598 and 161,765

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Solution

The third proportional to 71,598 and 161,765 is: 365,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,598 : 161,765 = 161,765 : x
  2. Step 2: Convert to fraction form
    71,598/161,765 = 161,765/x
  3. Step 3: Cross multiply
    71,598x = 161,765 × 161,765
  4. Step 4: Simplify right side
    71,598x = 26,167,915,225
  5. Step 5: Solve for x
    x = 26,167,915,225/71,598
  6. Step 6: Final answer
    x = 365,483.89

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.