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Finding the Third Proportional to 76,254.75 and 113,278.50

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Solution

The third proportional to 76,254.75 and 113,278.50 is: 168,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254.75 : 113,278.50 = 113,278.50 : x
  2. Step 2: Convert to fraction form
    76,254.75/113,278.50 = 113,278.50/x
  3. Step 3: Cross multiply
    76,254.75x = 113,278.50 × 113,278.50
  4. Step 4: Simplify right side
    76,254.75x = 12,832,018,562.25
  5. Step 5: Solve for x
    x = 12,832,018,562.25/76,254.75
  6. Step 6: Final answer
    x = 168,278.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.