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Finding the Third Proportional to 32,292 and 70,812

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Solution

The third proportional to 32,292 and 70,812 is: 155,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 70,812 = 70,812 : x
  2. Step 2: Convert to fraction form
    32,292/70,812 = 70,812/x
  3. Step 3: Cross multiply
    32,292x = 70,812 × 70,812
  4. Step 4: Simplify right side
    32,292x = 5,014,339,344
  5. Step 5: Solve for x
    x = 5,014,339,344/32,292
  6. Step 6: Final answer
    x = 155,281.16

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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.