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Finding the Third Proportional to 69,216 and 154,560

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Solution

The third proportional to 69,216 and 154,560 is: 345,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,216 : 154,560 = 154,560 : x
  2. Step 2: Convert to fraction form
    69,216/154,560 = 154,560/x
  3. Step 3: Cross multiply
    69,216x = 154,560 × 154,560
  4. Step 4: Simplify right side
    69,216x = 23,888,793,600
  5. Step 5: Solve for x
    x = 23,888,793,600/69,216
  6. Step 6: Final answer
    x = 345,133.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.