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Finding the Third Proportional to 117,639 and 133,677

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Solution

The third proportional to 117,639 and 133,677 is: 151,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,639 : 133,677 = 133,677 : x
  2. Step 2: Convert to fraction form
    117,639/133,677 = 133,677/x
  3. Step 3: Cross multiply
    117,639x = 133,677 × 133,677
  4. Step 4: Simplify right side
    117,639x = 17,869,540,329
  5. Step 5: Solve for x
    x = 17,869,540,329/117,639
  6. Step 6: Final answer
    x = 151,901.50

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.