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Finding the Third Proportional to 77,592 and 116,772

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Solution

The third proportional to 77,592 and 116,772 is: 175,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,592 : 116,772 = 116,772 : x
  2. Step 2: Convert to fraction form
    77,592/116,772 = 116,772/x
  3. Step 3: Cross multiply
    77,592x = 116,772 × 116,772
  4. Step 4: Simplify right side
    77,592x = 13,635,699,984
  5. Step 5: Solve for x
    x = 13,635,699,984/77,592
  6. Step 6: Final answer
    x = 175,735.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.