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Finding the Third Proportional to 101,187 and 148,500

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Solution

The third proportional to 101,187 and 148,500 is: 217,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,187 : 148,500 = 148,500 : x
  2. Step 2: Convert to fraction form
    101,187/148,500 = 148,500/x
  3. Step 3: Cross multiply
    101,187x = 148,500 × 148,500
  4. Step 4: Simplify right side
    101,187x = 22,052,250,000
  5. Step 5: Solve for x
    x = 22,052,250,000/101,187
  6. Step 6: Final answer
    x = 217,935.60

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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.