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Finding the Third Proportional to 32,749 and 70,169

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Solution

The third proportional to 32,749 and 70,169 is: 150,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749 : 70,169 = 70,169 : x
  2. Step 2: Convert to fraction form
    32,749/70,169 = 70,169/x
  3. Step 3: Cross multiply
    32,749x = 70,169 × 70,169
  4. Step 4: Simplify right side
    32,749x = 4,923,688,561
  5. Step 5: Solve for x
    x = 4,923,688,561/32,749
  6. Step 6: Final answer
    x = 150,346.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.