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Finding the Third Proportional to 127,599.68 and 188,482.57

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Solution

The third proportional to 127,599.68 and 188,482.57 is: 278,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,599.68 : 188,482.57 = 188,482.57 : x
  2. Step 2: Convert to fraction form
    127,599.68/188,482.57 = 188,482.57/x
  3. Step 3: Cross multiply
    127,599.68x = 188,482.57 × 188,482.57
  4. Step 4: Simplify right side
    127,599.68x = 35,525,679,311.61
  5. Step 5: Solve for x
    x = 35,525,679,311.61/127,599.68
  6. Step 6: Final answer
    x = 278,415.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.