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Finding the Third Proportional to 76,187 and 161,588

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Solution

The third proportional to 76,187 and 161,588 is: 342,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187 : 161,588 = 161,588 : x
  2. Step 2: Convert to fraction form
    76,187/161,588 = 161,588/x
  3. Step 3: Cross multiply
    76,187x = 161,588 × 161,588
  4. Step 4: Simplify right side
    76,187x = 26,110,681,744
  5. Step 5: Solve for x
    x = 26,110,681,744/76,187
  6. Step 6: Final answer
    x = 342,718.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.