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Finding the Third Proportional to 101,749.50 and 155,648.25

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Solution

The third proportional to 101,749.50 and 155,648.25 is: 238,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,749.50 : 155,648.25 = 155,648.25 : x
  2. Step 2: Convert to fraction form
    101,749.50/155,648.25 = 155,648.25/x
  3. Step 3: Cross multiply
    101,749.50x = 155,648.25 × 155,648.25
  4. Step 4: Simplify right side
    101,749.50x = 24,226,377,728.06
  5. Step 5: Solve for x
    x = 24,226,377,728.06/101,749.50
  6. Step 6: Final answer
    x = 238,098.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.