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Finding the Third Proportional to 89,248 and 118,984

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Solution

The third proportional to 89,248 and 118,984 is: 158,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,248 : 118,984 = 118,984 : x
  2. Step 2: Convert to fraction form
    89,248/118,984 = 118,984/x
  3. Step 3: Cross multiply
    89,248x = 118,984 × 118,984
  4. Step 4: Simplify right side
    89,248x = 14,157,192,256
  5. Step 5: Solve for x
    x = 14,157,192,256/89,248
  6. Step 6: Final answer
    x = 158,627.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.