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Finding the Third Proportional to 128,047.50 and 139,529.25

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Solution

The third proportional to 128,047.50 and 139,529.25 is: 152,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,047.50 : 139,529.25 = 139,529.25 : x
  2. Step 2: Convert to fraction form
    128,047.50/139,529.25 = 139,529.25/x
  3. Step 3: Cross multiply
    128,047.50x = 139,529.25 × 139,529.25
  4. Step 4: Simplify right side
    128,047.50x = 19,468,411,605.56
  5. Step 5: Solve for x
    x = 19,468,411,605.56/128,047.50
  6. Step 6: Final answer
    x = 152,040.54

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.