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Finding the Third Proportional to 59,397 and 128,080.50

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Solution

The third proportional to 59,397 and 128,080.50 is: 276,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,397 : 128,080.50 = 128,080.50 : x
  2. Step 2: Convert to fraction form
    59,397/128,080.50 = 128,080.50/x
  3. Step 3: Cross multiply
    59,397x = 128,080.50 × 128,080.50
  4. Step 4: Simplify right side
    59,397x = 16,404,614,480.25
  5. Step 5: Solve for x
    x = 16,404,614,480.25/59,397
  6. Step 6: Final answer
    x = 276,185.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.