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Finding the Third Proportional to 56,459 and 74,948

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Solution

The third proportional to 56,459 and 74,948 is: 99,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459 : 74,948 = 74,948 : x
  2. Step 2: Convert to fraction form
    56,459/74,948 = 74,948/x
  3. Step 3: Cross multiply
    56,459x = 74,948 × 74,948
  4. Step 4: Simplify right side
    56,459x = 5,617,202,704
  5. Step 5: Solve for x
    x = 5,617,202,704/56,459
  6. Step 6: Final answer
    x = 99,491.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.