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Finding the Third Proportional to 59,638.50 and 131,031

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Solution

The third proportional to 59,638.50 and 131,031 is: 287,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.50 : 131,031 = 131,031 : x
  2. Step 2: Convert to fraction form
    59,638.50/131,031 = 131,031/x
  3. Step 3: Cross multiply
    59,638.50x = 131,031 × 131,031
  4. Step 4: Simplify right side
    59,638.50x = 17,169,122,961
  5. Step 5: Solve for x
    x = 17,169,122,961/59,638.50
  6. Step 6: Final answer
    x = 287,886.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.