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Finding the Third Proportional to 75,398 and 113,106

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Solution

The third proportional to 75,398 and 113,106 is: 169,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,398 : 113,106 = 113,106 : x
  2. Step 2: Convert to fraction form
    75,398/113,106 = 113,106/x
  3. Step 3: Cross multiply
    75,398x = 113,106 × 113,106
  4. Step 4: Simplify right side
    75,398x = 12,792,967,236
  5. Step 5: Solve for x
    x = 12,792,967,236/75,398
  6. Step 6: Final answer
    x = 169,672.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.