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Finding the Third Proportional to 75,783 and 114,726

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Solution

The third proportional to 75,783 and 114,726 is: 173,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783 : 114,726 = 114,726 : x
  2. Step 2: Convert to fraction form
    75,783/114,726 = 114,726/x
  3. Step 3: Cross multiply
    75,783x = 114,726 × 114,726
  4. Step 4: Simplify right side
    75,783x = 13,162,055,076
  5. Step 5: Solve for x
    x = 13,162,055,076/75,783
  6. Step 6: Final answer
    x = 173,680.84

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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.