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Finding the Third Proportional to 61,186.50 and 130,797

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Solution

The third proportional to 61,186.50 and 130,797 is: 279,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,186.50 : 130,797 = 130,797 : x
  2. Step 2: Convert to fraction form
    61,186.50/130,797 = 130,797/x
  3. Step 3: Cross multiply
    61,186.50x = 130,797 × 130,797
  4. Step 4: Simplify right side
    61,186.50x = 17,107,855,209
  5. Step 5: Solve for x
    x = 17,107,855,209/61,186.50
  6. Step 6: Final answer
    x = 279,601.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.