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Finding the Third Proportional to 75,940.88 and 175,807.13

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Solution

The third proportional to 75,940.88 and 175,807.13 is: 407,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,940.88 : 175,807.13 = 175,807.13 : x
  2. Step 2: Convert to fraction form
    75,940.88/175,807.13 = 175,807.13/x
  3. Step 3: Cross multiply
    75,940.88x = 175,807.13 × 175,807.13
  4. Step 4: Simplify right side
    75,940.88x = 30,908,145,200.77
  5. Step 5: Solve for x
    x = 30,908,145,200.77/75,940.88
  6. Step 6: Final answer
    x = 407,002.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.