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Finding the Third Proportional to 51,998.63 and 74,306.53

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Solution

The third proportional to 51,998.63 and 74,306.53 is: 106,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998.63 : 74,306.53 = 74,306.53 : x
  2. Step 2: Convert to fraction form
    51,998.63/74,306.53 = 74,306.53/x
  3. Step 3: Cross multiply
    51,998.63x = 74,306.53 × 74,306.53
  4. Step 4: Simplify right side
    51,998.63x = 5,521,460,586.41
  5. Step 5: Solve for x
    x = 5,521,460,586.41/51,998.63
  6. Step 6: Final answer
    x = 106,184.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.