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Finding the Third Proportional to 32,102 and 70,608

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Solution

The third proportional to 32,102 and 70,608 is: 155,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102 : 70,608 = 70,608 : x
  2. Step 2: Convert to fraction form
    32,102/70,608 = 70,608/x
  3. Step 3: Cross multiply
    32,102x = 70,608 × 70,608
  4. Step 4: Simplify right side
    32,102x = 4,985,489,664
  5. Step 5: Solve for x
    x = 4,985,489,664/32,102
  6. Step 6: Final answer
    x = 155,301.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.