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Finding the Third Proportional to 70,652 and 147,048

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Solution

The third proportional to 70,652 and 147,048 is: 306,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652 : 147,048 = 147,048 : x
  2. Step 2: Convert to fraction form
    70,652/147,048 = 147,048/x
  3. Step 3: Cross multiply
    70,652x = 147,048 × 147,048
  4. Step 4: Simplify right side
    70,652x = 21,623,114,304
  5. Step 5: Solve for x
    x = 21,623,114,304/70,652
  6. Step 6: Final answer
    x = 306,050.99

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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.