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Finding the Third Proportional to 68,137.88 and 103,437

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Solution

The third proportional to 68,137.88 and 103,437 is: 157,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,137.88 : 103,437 = 103,437 : x
  2. Step 2: Convert to fraction form
    68,137.88/103,437 = 103,437/x
  3. Step 3: Cross multiply
    68,137.88x = 103,437 × 103,437
  4. Step 4: Simplify right side
    68,137.88x = 10,699,212,969
  5. Step 5: Solve for x
    x = 10,699,212,969/68,137.88
  6. Step 6: Final answer
    x = 157,022.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.