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Finding the Third Proportional to 102,156.50 and 140,228.50

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Solution

The third proportional to 102,156.50 and 140,228.50 is: 192,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,156.50 : 140,228.50 = 140,228.50 : x
  2. Step 2: Convert to fraction form
    102,156.50/140,228.50 = 140,228.50/x
  3. Step 3: Cross multiply
    102,156.50x = 140,228.50 × 140,228.50
  4. Step 4: Simplify right side
    102,156.50x = 19,664,032,212.25
  5. Step 5: Solve for x
    x = 19,664,032,212.25/102,156.50
  6. Step 6: Final answer
    x = 192,489.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.