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Finding the Third Proportional to 59,216 and 127,216

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Solution

The third proportional to 59,216 and 127,216 is: 273,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,216 : 127,216 = 127,216 : x
  2. Step 2: Convert to fraction form
    59,216/127,216 = 127,216/x
  3. Step 3: Cross multiply
    59,216x = 127,216 × 127,216
  4. Step 4: Simplify right side
    59,216x = 16,183,910,656
  5. Step 5: Solve for x
    x = 16,183,910,656/59,216
  6. Step 6: Final answer
    x = 273,303.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.