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Finding the Third Proportional to 120,873 and 169,915.50

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Solution

The third proportional to 120,873 and 169,915.50 is: 238,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,873 : 169,915.50 = 169,915.50 : x
  2. Step 2: Convert to fraction form
    120,873/169,915.50 = 169,915.50/x
  3. Step 3: Cross multiply
    120,873x = 169,915.50 × 169,915.50
  4. Step 4: Simplify right side
    120,873x = 28,871,277,140.25
  5. Step 5: Solve for x
    x = 28,871,277,140.25/120,873
  6. Step 6: Final answer
    x = 238,856.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.