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Finding the Third Proportional to 113,677.50 and 175,254.75

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Solution

The third proportional to 113,677.50 and 175,254.75 is: 270,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,677.50 : 175,254.75 = 175,254.75 : x
  2. Step 2: Convert to fraction form
    113,677.50/175,254.75 = 175,254.75/x
  3. Step 3: Cross multiply
    113,677.50x = 175,254.75 × 175,254.75
  4. Step 4: Simplify right side
    113,677.50x = 30,714,227,397.56
  5. Step 5: Solve for x
    x = 30,714,227,397.56/113,677.50
  6. Step 6: Final answer
    x = 270,187.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.