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Finding the Third Proportional to 117,600 and 177,492

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Solution

The third proportional to 117,600 and 177,492 is: 267,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,600 : 177,492 = 177,492 : x
  2. Step 2: Convert to fraction form
    117,600/177,492 = 177,492/x
  3. Step 3: Cross multiply
    117,600x = 177,492 × 177,492
  4. Step 4: Simplify right side
    117,600x = 31,503,410,064
  5. Step 5: Solve for x
    x = 31,503,410,064/117,600
  6. Step 6: Final answer
    x = 267,886.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.