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Finding the Third Proportional to 48,402 and 76,063

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Solution

The third proportional to 48,402 and 76,063 is: 119,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,402 : 76,063 = 76,063 : x
  2. Step 2: Convert to fraction form
    48,402/76,063 = 76,063/x
  3. Step 3: Cross multiply
    48,402x = 76,063 × 76,063
  4. Step 4: Simplify right side
    48,402x = 5,785,579,969
  5. Step 5: Solve for x
    x = 5,785,579,969/48,402
  6. Step 6: Final answer
    x = 119,531.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.