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Finding the Third Proportional to 70,845 and 147,468

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Solution

The third proportional to 70,845 and 147,468 is: 306,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,845 : 147,468 = 147,468 : x
  2. Step 2: Convert to fraction form
    70,845/147,468 = 147,468/x
  3. Step 3: Cross multiply
    70,845x = 147,468 × 147,468
  4. Step 4: Simplify right side
    70,845x = 21,746,811,024
  5. Step 5: Solve for x
    x = 21,746,811,024/70,845
  6. Step 6: Final answer
    x = 306,963.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.