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Finding the Third Proportional to 113,071.50 and 166,236

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Solution

The third proportional to 113,071.50 and 166,236 is: 244,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,071.50 : 166,236 = 166,236 : x
  2. Step 2: Convert to fraction form
    113,071.50/166,236 = 166,236/x
  3. Step 3: Cross multiply
    113,071.50x = 166,236 × 166,236
  4. Step 4: Simplify right side
    113,071.50x = 27,634,407,696
  5. Step 5: Solve for x
    x = 27,634,407,696/113,071.50
  6. Step 6: Final answer
    x = 244,397.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.