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Finding the Third Proportional to 76,252.50 and 113,274

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Solution

The third proportional to 76,252.50 and 113,274 is: 168,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,252.50 : 113,274 = 113,274 : x
  2. Step 2: Convert to fraction form
    76,252.50/113,274 = 113,274/x
  3. Step 3: Cross multiply
    76,252.50x = 113,274 × 113,274
  4. Step 4: Simplify right side
    76,252.50x = 12,830,999,076
  5. Step 5: Solve for x
    x = 12,830,999,076/76,252.50
  6. Step 6: Final answer
    x = 168,269.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.