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Finding the Third Proportional to 67,090 and 142,172

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Solution

The third proportional to 67,090 and 142,172 is: 301,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,090 : 142,172 = 142,172 : x
  2. Step 2: Convert to fraction form
    67,090/142,172 = 142,172/x
  3. Step 3: Cross multiply
    67,090x = 142,172 × 142,172
  4. Step 4: Simplify right side
    67,090x = 20,212,877,584
  5. Step 5: Solve for x
    x = 20,212,877,584/67,090
  6. Step 6: Final answer
    x = 301,280.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.