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Finding the Third Proportional to 70,033 and 153,672

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Solution

The third proportional to 70,033 and 153,672 is: 337,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033 : 153,672 = 153,672 : x
  2. Step 2: Convert to fraction form
    70,033/153,672 = 153,672/x
  3. Step 3: Cross multiply
    70,033x = 153,672 × 153,672
  4. Step 4: Simplify right side
    70,033x = 23,615,083,584
  5. Step 5: Solve for x
    x = 23,615,083,584/70,033
  6. Step 6: Final answer
    x = 337,199.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.