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Finding the Third Proportional to 70,878 and 144,996

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Solution

The third proportional to 70,878 and 144,996 is: 296,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878 : 144,996 = 144,996 : x
  2. Step 2: Convert to fraction form
    70,878/144,996 = 144,996/x
  3. Step 3: Cross multiply
    70,878x = 144,996 × 144,996
  4. Step 4: Simplify right side
    70,878x = 21,023,840,016
  5. Step 5: Solve for x
    x = 21,023,840,016/70,878
  6. Step 6: Final answer
    x = 296,620.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.