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Finding the Third Proportional to 48,392 and 77,052

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Solution

The third proportional to 48,392 and 77,052 is: 122,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,392 : 77,052 = 77,052 : x
  2. Step 2: Convert to fraction form
    48,392/77,052 = 77,052/x
  3. Step 3: Cross multiply
    48,392x = 77,052 × 77,052
  4. Step 4: Simplify right side
    48,392x = 5,937,010,704
  5. Step 5: Solve for x
    x = 5,937,010,704/48,392
  6. Step 6: Final answer
    x = 122,685.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.