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Finding the Third Proportional to 82,923.75 and 124,803.28

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Solution

The third proportional to 82,923.75 and 124,803.28 is: 187,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,923.75 : 124,803.28 = 124,803.28 : x
  2. Step 2: Convert to fraction form
    82,923.75/124,803.28 = 124,803.28/x
  3. Step 3: Cross multiply
    82,923.75x = 124,803.28 × 124,803.28
  4. Step 4: Simplify right side
    82,923.75x = 15,575,859,010.77
  5. Step 5: Solve for x
    x = 15,575,859,010.77/82,923.75
  6. Step 6: Final answer
    x = 187,833.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.