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Finding the Third Proportional to 117,607 and 177,506

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Solution

The third proportional to 117,607 and 177,506 is: 267,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,607 : 177,506 = 177,506 : x
  2. Step 2: Convert to fraction form
    117,607/177,506 = 177,506/x
  3. Step 3: Cross multiply
    117,607x = 177,506 × 177,506
  4. Step 4: Simplify right side
    117,607x = 31,508,380,036
  5. Step 5: Solve for x
    x = 31,508,380,036/117,607
  6. Step 6: Final answer
    x = 267,912.45

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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.