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Finding the Third Proportional to 37,303 and 56,123

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Solution

The third proportional to 37,303 and 56,123 is: 84,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,303 : 56,123 = 56,123 : x
  2. Step 2: Convert to fraction form
    37,303/56,123 = 56,123/x
  3. Step 3: Cross multiply
    37,303x = 56,123 × 56,123
  4. Step 4: Simplify right side
    37,303x = 3,149,791,129
  5. Step 5: Solve for x
    x = 3,149,791,129/37,303
  6. Step 6: Final answer
    x = 84,438.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.