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Finding the Third Proportional to 59,639.34 and 128,619.70

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Solution

The third proportional to 59,639.34 and 128,619.70 is: 277,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,639.34 : 128,619.70 = 128,619.70 : x
  2. Step 2: Convert to fraction form
    59,639.34/128,619.70 = 128,619.70/x
  3. Step 3: Cross multiply
    59,639.34x = 128,619.70 × 128,619.70
  4. Step 4: Simplify right side
    59,639.34x = 16,543,028,031.96
  5. Step 5: Solve for x
    x = 16,543,028,031.96/59,639.34
  6. Step 6: Final answer
    x = 277,384.47

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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.