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Finding the Third Proportional to 70,420 and 153,032

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Solution

The third proportional to 70,420 and 153,032 is: 332,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,420 : 153,032 = 153,032 : x
  2. Step 2: Convert to fraction form
    70,420/153,032 = 153,032/x
  3. Step 3: Cross multiply
    70,420x = 153,032 × 153,032
  4. Step 4: Simplify right side
    70,420x = 23,418,793,024
  5. Step 5: Solve for x
    x = 23,418,793,024/70,420
  6. Step 6: Final answer
    x = 332,558.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.