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Finding the Third Proportional to 59,274 and 129,199.50

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Solution

The third proportional to 59,274 and 129,199.50 is: 281,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,274 : 129,199.50 = 129,199.50 : x
  2. Step 2: Convert to fraction form
    59,274/129,199.50 = 129,199.50/x
  3. Step 3: Cross multiply
    59,274x = 129,199.50 × 129,199.50
  4. Step 4: Simplify right side
    59,274x = 16,692,510,800.25
  5. Step 5: Solve for x
    x = 16,692,510,800.25/59,274
  6. Step 6: Final answer
    x = 281,616.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.