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Finding the Third Proportional to 76,772 and 117,588

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Solution

The third proportional to 76,772 and 117,588 is: 180,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772 : 117,588 = 117,588 : x
  2. Step 2: Convert to fraction form
    76,772/117,588 = 117,588/x
  3. Step 3: Cross multiply
    76,772x = 117,588 × 117,588
  4. Step 4: Simplify right side
    76,772x = 13,826,937,744
  5. Step 5: Solve for x
    x = 13,826,937,744/76,772
  6. Step 6: Final answer
    x = 180,103.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.