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Finding the Third Proportional to 61,510.50 and 80,768.50

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Solution

The third proportional to 61,510.50 and 80,768.50 is: 106,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,510.50 : 80,768.50 = 80,768.50 : x
  2. Step 2: Convert to fraction form
    61,510.50/80,768.50 = 80,768.50/x
  3. Step 3: Cross multiply
    61,510.50x = 80,768.50 × 80,768.50
  4. Step 4: Simplify right side
    61,510.50x = 6,523,550,592.25
  5. Step 5: Solve for x
    x = 6,523,550,592.25/61,510.50
  6. Step 6: Final answer
    x = 106,055.89

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.