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Finding the Third Proportional to 75,746 and 113,151

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Solution

The third proportional to 75,746 and 113,151 is: 169,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,746 : 113,151 = 113,151 : x
  2. Step 2: Convert to fraction form
    75,746/113,151 = 113,151/x
  3. Step 3: Cross multiply
    75,746x = 113,151 × 113,151
  4. Step 4: Simplify right side
    75,746x = 12,803,148,801
  5. Step 5: Solve for x
    x = 12,803,148,801/75,746
  6. Step 6: Final answer
    x = 169,027.39

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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.