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Finding the Third Proportional to 59,270 and 129,191.50

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Solution

The third proportional to 59,270 and 129,191.50 is: 281,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,270 : 129,191.50 = 129,191.50 : x
  2. Step 2: Convert to fraction form
    59,270/129,191.50 = 129,191.50/x
  3. Step 3: Cross multiply
    59,270x = 129,191.50 × 129,191.50
  4. Step 4: Simplify right side
    59,270x = 16,690,443,672.25
  5. Step 5: Solve for x
    x = 16,690,443,672.25/59,270
  6. Step 6: Final answer
    x = 281,600.20

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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.