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Finding the Third Proportional to 112,971 and 166,000.50

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Solution

The third proportional to 112,971 and 166,000.50 is: 243,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,971 : 166,000.50 = 166,000.50 : x
  2. Step 2: Convert to fraction form
    112,971/166,000.50 = 166,000.50/x
  3. Step 3: Cross multiply
    112,971x = 166,000.50 × 166,000.50
  4. Step 4: Simplify right side
    112,971x = 27,556,166,000.25
  5. Step 5: Solve for x
    x = 27,556,166,000.25/112,971
  6. Step 6: Final answer
    x = 243,922.48

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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.