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Finding the Third Proportional to 114,331.50 and 128,000.25

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Solution

The third proportional to 114,331.50 and 128,000.25 is: 143,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,331.50 : 128,000.25 = 128,000.25 : x
  2. Step 2: Convert to fraction form
    114,331.50/128,000.25 = 128,000.25/x
  3. Step 3: Cross multiply
    114,331.50x = 128,000.25 × 128,000.25
  4. Step 4: Simplify right side
    114,331.50x = 16,384,064,000.06
  5. Step 5: Solve for x
    x = 16,384,064,000.06/114,331.50
  6. Step 6: Final answer
    x = 143,303.15

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.