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Finding the Third Proportional to 128,758.50 and 173,265

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Solution

The third proportional to 128,758.50 and 173,265 is: 233,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,758.50 : 173,265 = 173,265 : x
  2. Step 2: Convert to fraction form
    128,758.50/173,265 = 173,265/x
  3. Step 3: Cross multiply
    128,758.50x = 173,265 × 173,265
  4. Step 4: Simplify right side
    128,758.50x = 30,020,760,225
  5. Step 5: Solve for x
    x = 30,020,760,225/128,758.50
  6. Step 6: Final answer
    x = 233,155.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.