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Finding the Third Proportional to 77,652 and 116,357

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Solution

The third proportional to 77,652 and 116,357 is: 174,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652 : 116,357 = 116,357 : x
  2. Step 2: Convert to fraction form
    77,652/116,357 = 116,357/x
  3. Step 3: Cross multiply
    77,652x = 116,357 × 116,357
  4. Step 4: Simplify right side
    77,652x = 13,538,951,449
  5. Step 5: Solve for x
    x = 13,538,951,449/77,652
  6. Step 6: Final answer
    x = 174,354.19

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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.