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Finding the Third Proportional to 58,956.75 and 83,343.50

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Solution

The third proportional to 58,956.75 and 83,343.50 is: 117,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,956.75 : 83,343.50 = 83,343.50 : x
  2. Step 2: Convert to fraction form
    58,956.75/83,343.50 = 83,343.50/x
  3. Step 3: Cross multiply
    58,956.75x = 83,343.50 × 83,343.50
  4. Step 4: Simplify right side
    58,956.75x = 6,946,138,992.25
  5. Step 5: Solve for x
    x = 6,946,138,992.25/58,956.75
  6. Step 6: Final answer
    x = 117,817.54

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.