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Finding the Third Proportional to 100,460.25 and 137,750.63

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Solution

The third proportional to 100,460.25 and 137,750.63 is: 188,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460.25 : 137,750.63 = 137,750.63 : x
  2. Step 2: Convert to fraction form
    100,460.25/137,750.63 = 137,750.63/x
  3. Step 3: Cross multiply
    100,460.25x = 137,750.63 × 137,750.63
  4. Step 4: Simplify right side
    100,460.25x = 18,975,234,687.89
  5. Step 5: Solve for x
    x = 18,975,234,687.89/100,460.25
  6. Step 6: Final answer
    x = 188,883.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.