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Finding the Third Proportional to 48,560 and 77,216

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Solution

The third proportional to 48,560 and 77,216 is: 122,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,560 : 77,216 = 77,216 : x
  2. Step 2: Convert to fraction form
    48,560/77,216 = 77,216/x
  3. Step 3: Cross multiply
    48,560x = 77,216 × 77,216
  4. Step 4: Simplify right side
    48,560x = 5,962,310,656
  5. Step 5: Solve for x
    x = 5,962,310,656/48,560
  6. Step 6: Final answer
    x = 122,782.34

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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.