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Finding the Third Proportional to 63,580.50 and 138,085

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Solution

The third proportional to 63,580.50 and 138,085 is: 299,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,580.50 : 138,085 = 138,085 : x
  2. Step 2: Convert to fraction form
    63,580.50/138,085 = 138,085/x
  3. Step 3: Cross multiply
    63,580.50x = 138,085 × 138,085
  4. Step 4: Simplify right side
    63,580.50x = 19,067,467,225
  5. Step 5: Solve for x
    x = 19,067,467,225/63,580.50
  6. Step 6: Final answer
    x = 299,894.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.