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Finding the Third Proportional to 62,167.50 and 134,267.63

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Solution

The third proportional to 62,167.50 and 134,267.63 is: 289,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,167.50 : 134,267.63 = 134,267.63 : x
  2. Step 2: Convert to fraction form
    62,167.50/134,267.63 = 134,267.63/x
  3. Step 3: Cross multiply
    62,167.50x = 134,267.63 × 134,267.63
  4. Step 4: Simplify right side
    62,167.50x = 18,027,795,123.14
  5. Step 5: Solve for x
    x = 18,027,795,123.14/62,167.50
  6. Step 6: Final answer
    x = 289,987.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.