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Finding the Third Proportional to 70,886 and 153,508

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Solution

The third proportional to 70,886 and 153,508 is: 332,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886 : 153,508 = 153,508 : x
  2. Step 2: Convert to fraction form
    70,886/153,508 = 153,508/x
  3. Step 3: Cross multiply
    70,886x = 153,508 × 153,508
  4. Step 4: Simplify right side
    70,886x = 23,564,706,064
  5. Step 5: Solve for x
    x = 23,564,706,064/70,886
  6. Step 6: Final answer
    x = 332,431.03

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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.