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Finding the Third Proportional to 92,355.19 and 138,629.60

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Solution

The third proportional to 92,355.19 and 138,629.60 is: 208,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,355.19 : 138,629.60 = 138,629.60 : x
  2. Step 2: Convert to fraction form
    92,355.19/138,629.60 = 138,629.60/x
  3. Step 3: Cross multiply
    92,355.19x = 138,629.60 × 138,629.60
  4. Step 4: Simplify right side
    92,355.19x = 19,218,166,429.38
  5. Step 5: Solve for x
    x = 19,218,166,429.38/92,355.19
  6. Step 6: Final answer
    x = 208,089.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.