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Finding the Third Proportional to 59,976 and 128,256.50

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Solution

The third proportional to 59,976 and 128,256.50 is: 274,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,976 : 128,256.50 = 128,256.50 : x
  2. Step 2: Convert to fraction form
    59,976/128,256.50 = 128,256.50/x
  3. Step 3: Cross multiply
    59,976x = 128,256.50 × 128,256.50
  4. Step 4: Simplify right side
    59,976x = 16,449,729,792.25
  5. Step 5: Solve for x
    x = 16,449,729,792.25/59,976
  6. Step 6: Final answer
    x = 274,271.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.