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Finding the Third Proportional to 56,472 and 90,814.50

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Solution

The third proportional to 56,472 and 90,814.50 is: 146,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472 : 90,814.50 = 90,814.50 : x
  2. Step 2: Convert to fraction form
    56,472/90,814.50 = 90,814.50/x
  3. Step 3: Cross multiply
    56,472x = 90,814.50 × 90,814.50
  4. Step 4: Simplify right side
    56,472x = 8,247,273,410.25
  5. Step 5: Solve for x
    x = 8,247,273,410.25/56,472
  6. Step 6: Final answer
    x = 146,041.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.