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Finding the Third Proportional to 48,410 and 77,081

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Solution

The third proportional to 48,410 and 77,081 is: 122,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410 : 77,081 = 77,081 : x
  2. Step 2: Convert to fraction form
    48,410/77,081 = 77,081/x
  3. Step 3: Cross multiply
    48,410x = 77,081 × 77,081
  4. Step 4: Simplify right side
    48,410x = 5,941,480,561
  5. Step 5: Solve for x
    x = 5,941,480,561/48,410
  6. Step 6: Final answer
    x = 122,732.50

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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.