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Finding the Third Proportional to 48,412 and 77,084

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Solution

The third proportional to 48,412 and 77,084 is: 122,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 77,084 = 77,084 : x
  2. Step 2: Convert to fraction form
    48,412/77,084 = 77,084/x
  3. Step 3: Cross multiply
    48,412x = 77,084 × 77,084
  4. Step 4: Simplify right side
    48,412x = 5,941,943,056
  5. Step 5: Solve for x
    x = 5,941,943,056/48,412
  6. Step 6: Final answer
    x = 122,736.99

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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.