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Finding the Third Proportional to 124,953 and 178,080.75

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Solution

The third proportional to 124,953 and 178,080.75 is: 253,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,953 : 178,080.75 = 178,080.75 : x
  2. Step 2: Convert to fraction form
    124,953/178,080.75 = 178,080.75/x
  3. Step 3: Cross multiply
    124,953x = 178,080.75 × 178,080.75
  4. Step 4: Simplify right side
    124,953x = 31,712,753,520.56
  5. Step 5: Solve for x
    x = 31,712,753,520.56/124,953
  6. Step 6: Final answer
    x = 253,797.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.