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Finding the Third Proportional to 48,030 and 75,991

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Solution

The third proportional to 48,030 and 75,991 is: 120,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,030 : 75,991 = 75,991 : x
  2. Step 2: Convert to fraction form
    48,030/75,991 = 75,991/x
  3. Step 3: Cross multiply
    48,030x = 75,991 × 75,991
  4. Step 4: Simplify right side
    48,030x = 5,774,632,081
  5. Step 5: Solve for x
    x = 5,774,632,081/48,030
  6. Step 6: Final answer
    x = 120,229.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.