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Finding the Third Proportional to 77,024.25 and 115,232.63

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Solution

The third proportional to 77,024.25 and 115,232.63 is: 172,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,024.25 : 115,232.63 = 115,232.63 : x
  2. Step 2: Convert to fraction form
    77,024.25/115,232.63 = 115,232.63/x
  3. Step 3: Cross multiply
    77,024.25x = 115,232.63 × 115,232.63
  4. Step 4: Simplify right side
    77,024.25x = 13,278,557,864.39
  5. Step 5: Solve for x
    x = 13,278,557,864.39/77,024.25
  6. Step 6: Final answer
    x = 172,394.51

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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.