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Finding the Third Proportional to 88,454 and 140,678

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Solution

The third proportional to 88,454 and 140,678 is: 223,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,454 : 140,678 = 140,678 : x
  2. Step 2: Convert to fraction form
    88,454/140,678 = 140,678/x
  3. Step 3: Cross multiply
    88,454x = 140,678 × 140,678
  4. Step 4: Simplify right side
    88,454x = 19,790,299,684
  5. Step 5: Solve for x
    x = 19,790,299,684/88,454
  6. Step 6: Final answer
    x = 223,735.50

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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.