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Finding the Third Proportional to 109,962 and 171,508.50

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Solution

The third proportional to 109,962 and 171,508.50 is: 267,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,962 : 171,508.50 = 171,508.50 : x
  2. Step 2: Convert to fraction form
    109,962/171,508.50 = 171,508.50/x
  3. Step 3: Cross multiply
    109,962x = 171,508.50 × 171,508.50
  4. Step 4: Simplify right side
    109,962x = 29,415,165,572.25
  5. Step 5: Solve for x
    x = 29,415,165,572.25/109,962
  6. Step 6: Final answer
    x = 267,503.01

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