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Finding the Third Proportional to 55,459.50 and 78,472.50

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Solution

The third proportional to 55,459.50 and 78,472.50 is: 111,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,459.50 : 78,472.50 = 78,472.50 : x
  2. Step 2: Convert to fraction form
    55,459.50/78,472.50 = 78,472.50/x
  3. Step 3: Cross multiply
    55,459.50x = 78,472.50 × 78,472.50
  4. Step 4: Simplify right side
    55,459.50x = 6,157,933,256.25
  5. Step 5: Solve for x
    x = 6,157,933,256.25/55,459.50
  6. Step 6: Final answer
    x = 111,034.78

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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.