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Finding the Third Proportional to 117,577 and 177,425.50

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Solution

The third proportional to 117,577 and 177,425.50 is: 267,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,577 : 177,425.50 = 177,425.50 : x
  2. Step 2: Convert to fraction form
    117,577/177,425.50 = 177,425.50/x
  3. Step 3: Cross multiply
    117,577x = 177,425.50 × 177,425.50
  4. Step 4: Simplify right side
    117,577x = 31,479,808,050.25
  5. Step 5: Solve for x
    x = 31,479,808,050.25/117,577
  6. Step 6: Final answer
    x = 267,737.81

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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.