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Finding the Third Proportional to 111,793.50 and 164,126.25

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Solution

The third proportional to 111,793.50 and 164,126.25 is: 240,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,793.50 : 164,126.25 = 164,126.25 : x
  2. Step 2: Convert to fraction form
    111,793.50/164,126.25 = 164,126.25/x
  3. Step 3: Cross multiply
    111,793.50x = 164,126.25 × 164,126.25
  4. Step 4: Simplify right side
    111,793.50x = 26,937,425,939.06
  5. Step 5: Solve for x
    x = 26,937,425,939.06/111,793.50
  6. Step 6: Final answer
    x = 240,957.00

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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.