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Finding the Third Proportional to 63,720 and 89,144

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Solution

The third proportional to 63,720 and 89,144 is: 124,712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,720 : 89,144 = 89,144 : x
  2. Step 2: Convert to fraction form
    63,720/89,144 = 89,144/x
  3. Step 3: Cross multiply
    63,720x = 89,144 × 89,144
  4. Step 4: Simplify right side
    63,720x = 7,946,652,736
  5. Step 5: Solve for x
    x = 7,946,652,736/63,720
  6. Step 6: Final answer
    x = 124,712.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.