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Finding the Third Proportional to 115,953 and 169,008.75

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Solution

The third proportional to 115,953 and 169,008.75 is: 246,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,953 : 169,008.75 = 169,008.75 : x
  2. Step 2: Convert to fraction form
    115,953/169,008.75 = 169,008.75/x
  3. Step 3: Cross multiply
    115,953x = 169,008.75 × 169,008.75
  4. Step 4: Simplify right side
    115,953x = 28,563,957,576.56
  5. Step 5: Solve for x
    x = 28,563,957,576.56/115,953
  6. Step 6: Final answer
    x = 246,340.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.