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Finding the Third Proportional to 76,880 and 157,588

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Solution

The third proportional to 76,880 and 157,588 is: 323,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880 : 157,588 = 157,588 : x
  2. Step 2: Convert to fraction form
    76,880/157,588 = 157,588/x
  3. Step 3: Cross multiply
    76,880x = 157,588 × 157,588
  4. Step 4: Simplify right side
    76,880x = 24,833,977,744
  5. Step 5: Solve for x
    x = 24,833,977,744/76,880
  6. Step 6: Final answer
    x = 323,022.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.