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Finding the Third Proportional to 67,567 and 105,090

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Solution

The third proportional to 67,567 and 105,090 is: 163,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,567 : 105,090 = 105,090 : x
  2. Step 2: Convert to fraction form
    67,567/105,090 = 105,090/x
  3. Step 3: Cross multiply
    67,567x = 105,090 × 105,090
  4. Step 4: Simplify right side
    67,567x = 11,043,908,100
  5. Step 5: Solve for x
    x = 11,043,908,100/67,567
  6. Step 6: Final answer
    x = 163,451.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.