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Finding the Third Proportional to 124,326 and 197,165.50

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Solution

The third proportional to 124,326 and 197,165.50 is: 312,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,326 : 197,165.50 = 197,165.50 : x
  2. Step 2: Convert to fraction form
    124,326/197,165.50 = 197,165.50/x
  3. Step 3: Cross multiply
    124,326x = 197,165.50 × 197,165.50
  4. Step 4: Simplify right side
    124,326x = 38,874,234,390.25
  5. Step 5: Solve for x
    x = 38,874,234,390.25/124,326
  6. Step 6: Final answer
    x = 312,679.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.